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Question

What will come in the place of question mark (?) in the following number series?

2, 3, -1, 8, -8, ?

The correct answer is

17

Find the differences between consecutive terms: 3 − 2 = +1, −1 − 3 = −4, 8 − (−1) = +9, −8 − 8 = −16.

The differences are +1, −4, +9, −16, i.e. +12, −22, +32, −42 — squares with alternating signs.

The next difference is +52 = +25.

Next term = −8 + 25 = 17.

Hence, the missing number is 17.

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Important Questions from Number Series

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    2, 5, 11, 23, 44, 77, ?

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