Multiple choice

Directions: Identify the missing number in the series given below. 3, 10, 25, 56, 119, 246, ?

  1. 475

  2. 493

  3. 501

  4. 524

  5. 543
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The pattern follows the rule: next term = (previous term * 2) + (n), where n starts at 4 and increases by 1 each step (3*2+4=10, 10*2+5=25, 25*2+6=56, 56*2+7=119, 119*2+8=246, 246*2+9=501).

AI explanation

The differences between the consecutive terms are 7, 15, 31, 63, and 127. These differences double each time and subtract 1, giving 15 from (2 * 7 + 1), 31 from (2 * 15 + 1), and so on. Following this pattern, the next difference is (2 * 127 + 1), which equals 255. Adding this difference to the last term gives 246 + 255 = 501. The result is 501.

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