Multiple choice

Directions: Find the missing term in the following number series. 25, 38, ?, 103, 155, 220, 298

  1. 64

  2. 74

  3. 65

  4. 54

  5. 46
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A Correct answer
Explanation

Differences: 38-25=13, ?-38=x, 103-?=y, 155-103=52, 220-155=65, 298-220=78. The differences are increasing by 13 (13, 26, 39, 52, 65, 78). So 38+26 = 64.

AI explanation

The differences between the consecutive terms are 13, 39, 52, 65, and 78. The differences form a pattern of multiples of 13, where 13 is 13*1, 39 is 13*3, 52 is 13*4, 65 is 13*5, and 78 is 13*6. Since the multiplier 2 is missing, the second difference should be 13*2, which equals 26. Adding this difference to the second term gives 38 + 26 = 64. The result is 64.

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