Maths-
General
Easy

Question

Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …

hintHint:

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

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