Multiple choice

Directions: Identify the missing number in the given series. 3, 10, 22, 41, 69, 108, ?

  1. 146

  2. 151

  3. 153

  4. 160

  5. 165
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D Correct answer
Explanation

Differences: 10-3=7, 22-10=12, 41-22=19, 69-41=28, 108-69=39. Second differences: 12-7=5, 19-12=7, 28-19=9, 39-28=11. The next second difference should be 13. So, 39+13=52. 108+52=160.

AI explanation

The differences between consecutive terms are 7, 12, 19, 28, and 39. The second differences between these numbers are 5, 7, 9, and 11. Since the second difference increases by 2 each time, the next first difference will be 39 + 13 = 52. Adding this difference to the last term gives 108 + 52 = 160. The missing number is 160.

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