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Question

Find the next number in the sequence.

2, 6, 14, 30, 62, ?

This question was previously asked in
SSC CHSL 2025 Tier 1 Question Paper (21-Nov-2025) (Shift 1)
The correct answer is

126

This is a number-series problem in which each term is generated from the one before it by a fixed rule combining multiplication and addition.

The sequence is \(2,\ 6,\ 14,\ 30,\ 62,\ ?\).

Test the rule “double the previous term and add 2”.

\(2 \times 2 + 2 = 6\) and \(6 \times 2 + 2 = 14\).

\(14 \times 2 + 2 = 30\) and \(30 \times 2 + 2 = 62\), so the rule fits every step.

Apply the same rule to the last term: \(62 \times 2 + 2 = 124 + 2 = 126\).

Notice too that each term is 2 less than a power of 2 \((4-2,\ 8-2,\ 16-2,\ 32-2,\ 64-2,\ 128-2)\), which confirms 126.

Hence the next number in the sequence is 126.

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