Question

find the next term in the given number series-
1,5,14,30,55,91, ?

1)130
2)140
3)150
4)151

Answer 1

The answer is option 2).

In this series, each h term is got by adding square of 'n'th term.

0 + 1^2 = 1

1 + 2^2 = 1 + 4 = 5

5 + 3^2 = 5 + 9 = 14

14 + 4^2 = 14 + 16 = 30

30 + 5^2 = 30 + 25 = 55

55 + 6^2 = 55 + 36 = 91


So,

91 + 7^2 = 91 + 49 = 140......●

Thus, 140 is the answer.....●

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Hope it was helpful.