Question

# Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...

Hint:

- A sequence is said to be arithmetic if the common difference is always constant.
- The General formula of any AP is .

## The correct answer is: ⇒-7

### Explanation:

- We have given a sequence 93,86,79,72,66,....
- We have to find weather the given sequence is AP or not.

Step 1 of 1:

We have given sequence 93,86,79,72,66,....

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.

### Related Questions to study

### Are graphs of the equations parallel, perpendicular or neither?

- We have been given two equations in the question for which we have to tell are graphs of the equations parallel, perpendicular or neither.

We have given two equations

Slope of both lines are 2, respectively

Since slope are not equal then both are not parallel.

Product of both slope is

So, both are not perpendicular also.

So,

Both are nor parallel neither perpendicular.

### Are graphs of the equations parallel, perpendicular or neither?

- We have been given two equations in the question for which we have to tell are graphs of the equations parallel, perpendicular or neither.

We have given two equations

Slope of both lines are 2, respectively

Since slope are not equal then both are not parallel.

Product of both slope is

So, both are not perpendicular also.

So,

Both are nor parallel neither perpendicular.

### Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...

- We have given a sequence 37,34,31,29,26,23,...
- We have to find weather the given sequence is AP or not.

We have given sequence 37,34,31,29,26,23,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...

- We have given a sequence 37,34,31,29,26,23,...
- We have to find weather the given sequence is AP or not.

We have given sequence 37,34,31,29,26,23,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

### What are the horizontal asymptotes for the graph

- Find the asymptotes of the rational function, if any.
- Draw the asymptotes as dotted lines.
- Find the x -intercept (s) and y -intercept of the rational function, if any.
- Find the values of y for several different values of x .
- Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.

x

^{2}+ 7x + 12 = 0

x

^{2}+ 3x + 4x + 12 = 0

x(x + 3) + 4(x + 3) = 0

(x + 3) (x + 4) = 0

x = -3 or x = -4

The vertical asymptote of the rational function is x =−3 and x = -4

This function has x -intercept at (4,0) and y -intercept at (0,7) . We will find more points on the function and graph the function.

From the graph we can analyze that the vertical asymptote of the rational function is x = -3 and x = -4.

### What are the horizontal asymptotes for the graph

- Find the asymptotes of the rational function, if any.
- Draw the asymptotes as dotted lines.
- Find the x -intercept (s) and y -intercept of the rational function, if any.
- Find the values of y for several different values of x .
- Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.

x

^{2}+ 7x + 12 = 0

x

^{2}+ 3x + 4x + 12 = 0

x(x + 3) + 4(x + 3) = 0

(x + 3) (x + 4) = 0

x = -3 or x = -4

The vertical asymptote of the rational function is x =−3 and x = -4

This function has x -intercept at (4,0) and y -intercept at (0,7) . We will find more points on the function and graph the function.

From the graph we can analyze that the vertical asymptote of the rational function is x = -3 and x = -4.

### Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...

- We have given a sequence 3,6,9,15,18,...
- We have to find weather the given sequence is AP or not.

We have given sequence 3,6,9,15,18,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...

- We have given a sequence 3,6,9,15,18,...
- We have to find weather the given sequence is AP or not.

We have given sequence 3,6,9,15,18,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 3,6,9,12,15,18,...

- We have given a sequence 3,6,9,12,15,18,...
- We have to find weather the given sequence is AP or not.

We have given sequence 3,6,9,12,15,18,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 3,6,9,12,15,18,...

- We have given a sequence 3,6,9,12,15,18,...
- We have to find weather the given sequence is AP or not.

We have given sequence 3,6,9,12,15,18,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 1,-2,3,-4,5,...

- We have given a sequence
- We have to find weather the given sequence is AP or not.

We have given sequence

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 1,-2,3,-4,5,...

- We have given a sequence
- We have to find weather the given sequence is AP or not.

We have given sequence

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 77,64,51,38,25,...

- We have given a sequence 77,64,51,38,25,...
- We have to find weather the given sequence is AP or not.

We have given sequence 77,64,51,38,25,..

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 77,64,51,38,25,...

- We have given a sequence 77,64,51,38,25,...
- We have to find weather the given sequence is AP or not.

We have given sequence 77,64,51,38,25,..

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 1,15,29,43,57,....

- We have given a sequence 1,15,29,43,57,...
- We have to find weather the given sequence is AP or not.

We have given sequence 1,15,29,43,57,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 1,15,29,43,57,....

- We have given a sequence 1,15,29,43,57,...
- We have to find weather the given sequence is AP or not.

We have given sequence 1,15,29,43,57,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is constant

The given sequence is an arithmetic sequence.

### Write a recursive formula for the given sequence. 47, 39, 31, 23, 15, ....

- We have given a sequence 47,39,31,23,15,...
- We have to find the recursive formula.

We have given a sequence 47, 39, 31, 23, 15, ....

The given sequence is an AP.

We know that the recursive formula for any AP is , where d is common difference.

Here the common difference is - 8

So, The recursive formula is

### Write a recursive formula for the given sequence. 47, 39, 31, 23, 15, ....

- We have given a sequence 47,39,31,23,15,...
- We have to find the recursive formula.

We have given a sequence 47, 39, 31, 23, 15, ....

The given sequence is an AP.

We know that the recursive formula for any AP is , where d is common difference.

Here the common difference is - 8

So, The recursive formula is

### Write a recursive formula for the given sequence. 81,85,89,93,97,....

**Explanation:**

We have given a sequence 81,85,89,93,97,...

The given sequence is an AP.

We know that the recursive formula for any AP is , where d is common difference.

Here the common difference is 4

So, The recursive formula is

- We have given a sequence 81,85,89,93,97,...
- We have to find the recursive formula.

We have given a sequence 81,85,89,93,97,...

The given sequence is an AP.

We know that the recursive formula for any AP is , where d is common difference.

Here the common difference is 4

So, The recursive formula is

**Write a recursive formula for the given sequence. 81,85,89,93,97,....**

**Maths-General**

**Explanation:**

We have given a sequence 81,85,89,93,97,...

The given sequence is an AP.

We know that the recursive formula for any AP is , where d is common difference.

Here the common difference is 4

So, The recursive formula is

- We have given a sequence 81,85,89,93,97,...
- We have to find the recursive formula.

We have given a sequence 81,85,89,93,97,...

The given sequence is an AP.

We know that the recursive formula for any AP is , where d is common difference.

Here the common difference is 4

So, The recursive formula is

**Maths-Explanation:**

We have given sequence 4,7,10,14,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.Maths-GeneralExplanation:

We have given sequence 4,7,10,14,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.Maths-### How do you find vertical and horizontal asymptotes of a rational function?

x

x

x(x + 3) + 4 (x + 3) = 0

(x + 3)(x + 4)=0

x= -3 or x = -4

The vertical asymptote of the rational function is x=−3 and x=-4

This function has no x -intercept at (4,0) and y -intercept at (0,7) . We will find more points on the function and graph the function.

From the graph we can analyze that the vertical asymptote of the rational function is x= -3 and x = -4.### How do you find vertical and horizontal asymptotes of a rational function?

Maths-General

x

x

x(x + 3) + 4 (x + 3) = 0

(x + 3)(x + 4)=0

x= -3 or x = -4

The vertical asymptote of the rational function is x=−3 and x=-4

This function has no x -intercept at (4,0) and y -intercept at (0,7) . We will find more points on the function and graph the function.

From the graph we can analyze that the vertical asymptote of the rational function is x= -3 and x = -4.Maths-

We have given sequence 15,13,11,9,...

The difference in first two terms is

Now the difference in next two terms is

Maths-General

We have given sequence 15,13,11,9,...

The difference in first two terms is

Now the difference in next two terms is

Maths-### Write an explicit formula for the arithmetic sequence.

We have given a explicit formula a

### Write an explicit formula for the arithmetic sequence.

Maths-General

We have given a explicit formula a

Maths-### Write an explicit formula for the arithmetic sequence.

We have given a explicit formula a

Now,

### Write an explicit formula for the arithmetic sequence.

Maths-General

We have given a explicit formula a

Now,

### Write a recursive formula for the given sequence. 81,85,89,93,97,....

- We have given a sequence 4,7,10,14,..
- We have to find weather the given sequence is AP or not.

We have given sequence 4,7,10,14,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.

### Write a recursive formula for the given sequence. 81,85,89,93,97,....

- We have given a sequence 4,7,10,14,..
- We have to find weather the given sequence is AP or not.

We have given sequence 4,7,10,14,...

The difference in first two terms is

Now the difference in next two terms is

Then, The difference between next two terms will be

Since the difference is not constant

The given sequence is not an arithmetic sequence.

### How do you find vertical and horizontal asymptotes of a rational function?

What are the vertical asymptotes for the graph of

- Find the asymptotes of the rational function, if any.
- Draw the asymptotes as dotted lines.
- Find the x -intercept (s) and y -intercept of the rational function, if any.
- Find the values of y for several different values of x .
- Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.

x

^{2}+7x + 12 = 0

x

^{2}+ 3x + 4x + 12 = 0

x(x + 3) + 4 (x + 3) = 0

(x + 3)(x + 4)=0

x= -3 or x = -4

The vertical asymptote of the rational function is x=−3 and x=-4

This function has no x -intercept at (4,0) and y -intercept at (0,7) . We will find more points on the function and graph the function.

From the graph we can analyze that the vertical asymptote of the rational function is x= -3 and x = -4.

### How do you find vertical and horizontal asymptotes of a rational function?

What are the vertical asymptotes for the graph of

- Find the asymptotes of the rational function, if any.
- Draw the asymptotes as dotted lines.
- Find the x -intercept (s) and y -intercept of the rational function, if any.
- Find the values of y for several different values of x .

x

^{2}+7x + 12 = 0

x

^{2}+ 3x + 4x + 12 = 0

x(x + 3) + 4 (x + 3) = 0

(x + 3)(x + 4)=0

x= -3 or x = -4

The vertical asymptote of the rational function is x=−3 and x=-4

This function has no x -intercept at (4,0) and y -intercept at (0,7) . We will find more points on the function and graph the function.

From the graph we can analyze that the vertical asymptote of the rational function is x= -3 and x = -4.

### Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....

- We have given a sequence 15,13,11,9,...
- We have to find weather the given sequence is AP or not.

We have given sequence 15,13,11,9,...

The difference in first two terms is

Now the difference in next two terms is

Since the difference is constant

The given sequence is arithmetic sequence.

### Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....

- We have given a sequence 15,13,11,9,...
- We have to find weather the given sequence is AP or not.

We have given sequence 15,13,11,9,...

The difference in first two terms is

Now the difference in next two terms is

Since the difference is constant

The given sequence is arithmetic sequence.

### Write an explicit formula for the arithmetic sequence.

a_{n} = 12 - 5n

- We have given an explicit formula a
_{n}= 12 - 5n - We have to find the recursive formula

We have given a explicit formula a

_{n}= 12 - 5n

Now,

So, The recursive formula is .

### Write an explicit formula for the arithmetic sequence.

a_{n} = 12 - 5n

- We have given an explicit formula a
_{n}= 12 - 5n - We have to find the recursive formula

We have given a explicit formula a

_{n}= 12 - 5n

Now,

So, The recursive formula is .

### Write an explicit formula for the arithmetic sequence.

a_{n} = 8 + 3n

- We have given an explicit formula a
_{n}= 8 + 3n - We have to find the recursive formula

We have given a explicit formula a

_{n}= 8 + 3n

Now,

So, The recursive formula is .

### Write an explicit formula for the arithmetic sequence.

a_{n} = 8 + 3n

- We have given an explicit formula a
_{n}= 8 + 3n - We have to find the recursive formula

We have given a explicit formula a

_{n}= 8 + 3n

Now,

So, The recursive formula is .

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