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Find the missing number in the following series. 2, 4, 16, 96, (…), 7680
Question

Find the missing number in the following series.
2, 4, 16, 96, (…), 7680

A.

773

B.

752

C.

768

D.

796

Correct option is C

Given - 2, 4, 16, 96, (…), 7680

The missing number in the series is 768.
Logic - Each number in the series is obtained by multiplying the previous number by a (2, 4, 6, ...) even number.

2×2=4

4×4=16

16×6=96

To find the missing number, we must multiply 96 by the next even number in the sequence, which is 8.

96×8=768

To verify the pattern, we can multiply the result by the next even number, which is 10.

768×10=7680

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