Maths-

General

Easy

Question

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

5, − 2, − 9, − 16, …

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: 5, − 2, − 9, − 16,- 23

### We have given the pattern of numbers

5, − 2, − 9, − 16, …

We have to find the next number.

We can see clearly that it is an Arithmetic progression

With

Common difference = -2 – 5 = -7

= - 9 + 2 = - 7

= - 16 + 9 = - 7

Therefore next term will be

- 16 + Common difference

- 16 – 7 = - 23

Therefore, the pattern will be

5, − 2, − 9, − 16,- 23

We have to find the next number.

We can see clearly that it is an Arithmetic progression

With

Common difference = -2 – 5 = -7

Therefore next term will be

- 16 + Common difference

Therefore, the pattern will be

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