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Select the number that will come next in the following series. 2, 6, 14, 26, 42, ?
Question

Select the number that will come next in the following series.
2, 6, 14, 26, 42, ?

A.

64

B.

54

C.

52

D.

62

Correct option is D

Given: 2, 6, 14, 26, 42, ?
Logic: The differences are 4, 8, 12, 16—which form an increasing sequence with a common difference of 4.​
Step 1: Identify the differences between consecutive terms
6-2=4,
14-6=8,
26-14=12,
42-26=16
The next difference should be:
16+4=20
Next term will be:
42+20=62
Thus, the correct answer is: (d) 62.

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