Multiple choice

Find the missing term in the given sequence. 15, 16, 20, 29, 45, 70, ?

  1. 120

  2. 89

  3. 95

  4. 106
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D Correct answer
Explanation

Differences: 16-15=1, 20-16=4, 29-20=9, 45-29=16, 70-45=25. These are squares of 1, 2, 3, 4, 5. The next difference is 6^2 = 36. 70 + 36 = 106.

AI explanation

The differences between the consecutive terms are perfect squares. The series increases by 1 squared, 2 squared, 3 squared, 4 squared, and 5 squared, which corresponds to the additions 1, 4, 9, 16, and 25. Adding 6 squared, which is 36, to the last term 70 gives 106. The missing term is 106.

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