Complete the series 11, 15, 17 24, ___, 65, 101

Complete the series 11, 15, 17 24, ___, 65, 101

Explanation

Looking at the differences between consecutive terms:

  • 15 - 11 = 4
  • 17 - 15 = 2
  • 24 - 17 = 7

Now, let's continue the pattern:

  • The difference between 24 and the next term should be 6 (following the alternating pattern of 4, 2, 7, 6...).

So, 24 + 6 = 30.

Let's check the next differences:

  • 65 - 30 = 35
  • 101 - 65 = 36

Thus, the complete series is: 11, 15, 17, 24, 30, 65, 101.