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Find the missing number in the given series following the same pattern:21, 13, 40, -24, 101, (?)
Question

Find the missing number in the given series following the same pattern:
21, 13, 40, -24, 101, (?)

A.

-121

B.

129

C.

119

D.

-115

Correct option is D

Given:
21, 13, 40, -24, 101, (?)
Logic: The difference is cube of the number in increasing order.
13 - 21 = -8 (-23)
40 - 13 = 27 (33)
-24 - 40 = -64 (-43)
101 - (-24) = 101 + 24 = 125 (53)
The next difference in the sequence should be (−6)3 = −216:
Next term = 101+(−216) = 101−216 = −115
So, -115 is next term.
Thus, the correct answer is (d).

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