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What will come in place of question mark (?) in the following number series? 2, 7, 24, ?, 238, 723

What will come in place of question mark (?) in the following number series? 2, 7, 24, ?, 238, 723 Correct Answer 77

The pattern of the given series is as follows: 

⇒ 31 – 1 = 3 – 1 = 2

⇒ 32 – 2 = 9 – 2 = 7

⇒ 33 – 3 = 27 – 3 = 24

Missing term,

⇒ 35 – 5 = 243 – 5 = 238

⇒ 36 – 6 = 729 – 6 = 723

∴ ? = 34 – 4 = 81 – 4 = 77

ALTERNATIVE METHOD:

2 × 3 + 1 = 7

7 × 3 + 3 = 24

24 × 3 + 5 = 77

77 × 3 + 7 = 238

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