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Find out the missing number in the series. 3, 5, 9, 17, 33, ?

Question and options

Find out the missing number in the series.

3, 5, 9, 17, 33, ?
  1. 65
  2. 66
  3. 57
  4. 55

Answer and explanation

Correct answer: A - 65
Each term is twice the previous one minus 1: 3 × 2 − 1 = 5, 5 × 2 − 1 = 9, 9 × 2 − 1 = 17 and 17 × 2 − 1 = 33. The next term is 33 × 2 − 1 = 65; equally, the differences 2, 4, 8 and 16 double each time, giving 33 + 32 = 65.

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  • CUSAT CAT Five-Year LL.B.

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