What number will replace the ?
$2, 6, 14, 26, ?, 62$

52

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54

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44

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42

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Solution

The correct option is D $42$
Following series is in the form
$4 \times 1 - 2 = 2$
$4 \times (1 + 1) - 2 = 4 \times 2 - 2 = 6$
$4 \times (2 + 2) - 2 = 4 \times 4 - 2 = 14$
$4 \times (4 + 3) - 2 = 4 \times 7 - 2 = 26$
$4 \times (7 + 4) - 2 = 4 \times 11 - 2 = 42$
$4 \times (11 + 5) - 2 = 4 \times 16 - 2 = 62$
Hence 42 replaces question mark.

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