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A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. -36, -68, -132, -260, ?,
Question

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
-36, -68, -132, -260, ?, -1028, -2052, -4100

A.

-516

B.

-519

C.

-515

D.

-518

Correct option is A

Given: -36, -68, -132, -260, ?, -1028, -2052, -4100
Logic: Double difference are doubling.
-68 − (−36) = −32
-132 − (−68) = −64
-260 − (−132) = −128
Differences are doubling:
−32, −64, −128, −256, −512, −1024, −2048
Next difference = −256
Missing term = -260 − 256 = −516
Check: -516 − 512 = −1028 (matches next term)
So, the missing term is -516.
Thus, correct option is (a).

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