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What is the missing number in the series 5 16 49 104?

Published in Number Series 1 min read

The missing number in the series 5, 16, 49, 104 is 181.

Here's how we find it, based on the provided reference:

The series is: 5, 16, 49, 104, __

According to the reference, the pattern is based on odd multiples of a certain number. In this case, the pattern is not directly of odd multiples of 11, but this is the closest description we can get:

  • To find the pattern, first find the differences between consecutive numbers:
    • 16 - 5 = 11
    • 49 - 16 = 33
    • 104 - 49 = 55
  • The differences (11, 33, 55) are multiples of 11:
    • 11 x 1 = 11
    • 11 x 3 = 33
    • 11 x 5 = 55
  • The multiples of 11 are increasing by 2 in each step (1, 3, 5...). The next odd number will be 7.
  • Next difference: 11 x 7 = 77
  • The missing number is: 104 + 77 = 181

Therefore, the series continues: 5, 16, 49, 104, 181.

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