Multiple choice

In the following question, select the missing number from the given series. $14, 22, 37, 61, 96, ?$

  1. $152$
  2. $132$
  3. $144$
  4. $162$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The differences between consecutive terms are: 22-14=8, 37-22=15, 61-37=24, 96-61=35. These differences themselves follow a pattern: 15-8=7, 24-15=9, 35-24=11. So next difference should be 35+13=48, making 96+48=144. The second-level differences increase by 2 each time (7, 9, 11, 13).

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