Question

# Describe the pattern in the numbers. Write the next number in the pattern. 3, 1, 1/3, 1/9, …

Hint:

### A pattern is a repeated arrangement of numbers, shapes, colors etc. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern.

## The correct answer is: Hence, the next number of the sequence will be 1/27 and the pattern here is that every number is the multiplication of the previous number with 1/3.

### The sequence is given: 3, 1, 1/3, 1/9, …We can see that

So we can conclude that the n^{th} number will be the result of the multiplication of (n-1)^{th} number and 1/3 or we can say that every number is the multiplication of the previous number with 1/3.

The next number will be

Final Answer:

Hence, the next number of the sequence will be and the pattern here is that every number is the multiplication of the previous number with 1/3.

So we can conclude that the n

^{th}number will be the result of the multiplication of (n-1)

^{th}number and 1/3 or we can say that every number is the multiplication of the previous number with 1/3.

The next number will be

Final Answer:

Hence, the next number of the sequence will be and the pattern here is that every number is the multiplication of the previous number with 1/3.

### Related Questions to study

### In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find

b) How many answers did each school get correct in the final round?

### In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find

b) How many answers did each school get correct in the final round?

### Classify the linear equations x = 2y and, y = 2x as having one solution, no solution or infinitely many solutions.

### Classify the linear equations x = 2y and, y = 2x as having one solution, no solution or infinitely many solutions.

### In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find

a) Frame the equation which models the scoring in the final round and the outcome of the contest?

### In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find

a) Frame the equation which models the scoring in the final round and the outcome of the contest?

### Use the Law of Detachment to make a valid conclusion in the true situation. If two lines are perpendicular, they form a right angle.

### Use the Law of Detachment to make a valid conclusion in the true situation. If two lines are perpendicular, they form a right angle.

### Classify the linear equations x - 3y = 3 , 3x - 9y = 2 as having one solution , no solution or infinitely many solutions .

### Classify the linear equations x - 3y = 3 , 3x - 9y = 2 as having one solution , no solution or infinitely many solutions .

### Describe the pattern in the numbers. Write the next number in the pattern.

1, 3/4, 1/2, 1/4, …

### Describe the pattern in the numbers. Write the next number in the pattern.

1, 3/4, 1/2, 1/4, …

### Classify the equation 2x + 1 - 4 = -2x - 3 as having one solution , no solution or infinitely many solutions .

### Classify the equation 2x + 1 - 4 = -2x - 3 as having one solution , no solution or infinitely many solutions .

### The Price of Stock A at 9 A.M was 12.73 .Since then the price has been increasing at the rate of Rs 0.06 per hour. At noon , the price of stock B was Rs 13.48 .It begins to decrease at the rate of Rs 0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?

The equation is defined as a mathematical statement with at least two terms containing variables or numbers that are equal.**Let's take an example:**

Assume the hours are "h" when attempting to equalize,

As per the given question, we can write the equation as:

12.73 + 0.06h = 13.48 - 0.14h

Rearrange the terms of h in the above equation,

0.06h + 0.14h = 13.48- 12.73

In the above equation, combine the corresponding terms,

0.2h = 0.75

Divide both sides by 0.2

h = 0.75/0.2

h = 3.75

Thus, the stock prices will be the same in 3.75 hours.

### The Price of Stock A at 9 A.M was 12.73 .Since then the price has been increasing at the rate of Rs 0.06 per hour. At noon , the price of stock B was Rs 13.48 .It begins to decrease at the rate of Rs 0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?

The equation is defined as a mathematical statement with at least two terms containing variables or numbers that are equal.**Let's take an example:**

Assume the hours are "h" when attempting to equalize,

As per the given question, we can write the equation as:

12.73 + 0.06h = 13.48 - 0.14h

Rearrange the terms of h in the above equation,

0.06h + 0.14h = 13.48- 12.73

In the above equation, combine the corresponding terms,

0.2h = 0.75

Divide both sides by 0.2

h = 0.75/0.2

h = 3.75

Thus, the stock prices will be the same in 3.75 hours.