Multiple choice

Directions: Select the missing number from the given series. 14, 22, 37, 61, 96, ?

  1. 152

  2. 132

  3. 144

  4. 162
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C Correct answer
Explanation

The differences between consecutive terms are: 22-14=8, 37-22=15, 61-37=24, 96-61=35. The second differences are: 15-8=7, 24-15=9, 35-24=11. The next second difference should be 13. Thus, the next first difference is 35+13=48. The next term is 96+48=144.

AI explanation

Subtract consecutive terms to find the first differences: 8, 15, 24, and 35. Subtract these differences to find the second differences: 7, 9, and 11. Since the second differences form a sequence of consecutive odd numbers, the next second difference is 13. Adding 13 to 35 gives a first difference of 48, and adding 48 to the last term of 96 results in 144. The result is 144.

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