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SSC CPO SI and ASI Model Paper 2

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Directions (Q. 11–14): What will come in place of ‘?’ in the following series?

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Question : 11 of 200

Marks: +1, -0

2, 9, 28, 65, 126, 217, _?_

342
343
345
344

Solution:

Concept:

The series follows the pattern

n^3+1

, where

n

is a natural number.

Explanation:

For

n=1

:

1^3+1=2

.

For

n=2

:

2^3+1=9

.

For

n=3

:

3^3+1=28

.

For

n=4

:

4^3+1=65

.

For

n=5

:

5^3+1=126

.

For

n=6

:

6^3+1=217

.

So, the next term is for

n=7

.

7^3+1=343+1=344

.

Answer:

The missing term is

344

.

Correct option: D.

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