Math Challenge: Complete the Series

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A reasonable answer is 107 (option C).

Step-by-step explanation

Look at the differences between consecutive numbers:

  • 41 − 37 = 4
  • 50 − 41 = 9
  • 64 − 50 = 14
  • 83 − 64 = 19

So the sequence of differences is:

4, 9, 14, 19

Now examine these differences:

  • 9 − 4 = 5
  • 14 − 9 = 5
  • 19 − 14 = 5

The differences themselves increase by a constant value of 5.

Therefore, the next difference should be:

19 + 5 = 24

Add this to the last term:

83 + 24 = 107

Verification

Term Difference
37 → 41 +4
41 → 50 +9
50 → 64 +14
64 → 83 +19
83 → 107 +24

The pattern is perfectly consistent.

Answer

107 (Option C)

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