Maths-

General

Easy

Question

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

3, 1, 1/3 , 1/9 , …

Hint:

### A sequence of numbers which has a common difference between any two consecutive numbers is called an arithmetic progression (A.P.). The arithmetic progression general form is given by a, a + d, a + 2d, a + 3d, . . .. Hence, the formula to find the nth term is:

an = a + (n – 1) × d

## The correct answer is: 3, 1, 1/3 , 1/9 , 1/27

### We have given a pattern

3, 1, 1/3 , 1/9 , …

We have to find the next term of pattern

If we analyse the pattern we found that each term is obtained by multiplying previous term by 1/3.

3 x 1/3 = 1

1 x 1/3 = 1/3

1/3 x 1/3 = 1/9

Then , the next term will be

1/9 x 1/3 = 1/27

So the pattern will be

3, 1, 1/3 , 1/9 , 1/27

We have to find the next term of pattern

If we analyse the pattern we found that each term is obtained by multiplying previous term by 1/3.

Then , the next term will be

So the pattern will be

### Related Questions to study

Maths-

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

Maths-General

Maths-

### Write the factored form of the given expression.

### Write the factored form of the given expression.

Maths-General

Maths-

### 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 , …

Maths-General

Maths-

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

Maths-General

Maths-

### Make and test a conjecture about the sum of two even numbers

### Make and test a conjecture about the sum of two even numbers

Maths-General

Maths-

### Write the factored form of the given expression.

### Write the factored form of the given expression.

Maths-General

Maths-

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

Maths-General

Maths-

### Make and test a conjecture about the number of diagonals of a pentagon. Write a conjecture for the general case.

### Make and test a conjecture about the number of diagonals of a pentagon. Write a conjecture for the general case.

Maths-General

Maths-

### Make and test a conjecture about the sum of numbers from 1 to 7. Write a conjecture for the general case.

### Make and test a conjecture about the sum of numbers from 1 to 7. Write a conjecture for the general case.

Maths-General

Maths-

### Make and test a conjecture about the square of even numbers.

### Make and test a conjecture about the square of even numbers.

Maths-General

Maths-

### Make and test a conjecture about the square of odd numbers.

### Make and test a conjecture about the square of odd numbers.

Maths-General

Maths-

### Make and test a conjecture about the sign of the product of any two negative integers

### Make and test a conjecture about the sign of the product of any two negative integers

Maths-General

Maths-

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

Maths-General

Maths-

### Is the expression factorable using integer coefficients and constants? Explain why or why not?

### Is the expression factorable using integer coefficients and constants? Explain why or why not?

Maths-General

Maths-

### Given four 6 collinear points, make a conjecture about the number of ways to connect different pairs of points

### Given four 6 collinear points, make a conjecture about the number of ways to connect different pairs of points

Maths-General