Multiple choice

Find the missing number in the given series. $7, 8, 10, 14, 22, ?, 70$

  1. 22

  2. 24

  3. 38

  4. 46
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C Correct answer
Explanation

The series follows a doubling difference pattern. The differences between consecutive terms are: 8-7=1, 10-8=2, 14-10=4, 22-14=8. Each difference doubles the previous one. Continuing this pattern, the next difference should be 16, so 22+16=38. Verification: 38+32=70, which matches the final term.

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