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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