Multiple choice

In each of the following question, a number series is given with missing of one term. Choose the correct alternative that will continue the same pattern and replace the question mark (?) in the given series. $122,170,226,290,?$

  1. $289$
  2. $362$
  3. $290$
  4. $325$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series follows the pattern n^2 + 121 (or 11^2, 12^2, 13^2, 14^2, 15^2 plus offsets). Specifically: 122=11^2+1, 170=13^2+1, 226=15^2+1, 290=17^2+1. The next term is 19^2+1 = 361+1 = 362.

AI explanation

The differences between the terms are 48, 56 and 64, which increase by 8 each time. Adding 72 to 290 gives 362, so the result is 362.

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