Question
Download Solution PDFDirection: Find the missing series?
13, 37, 109, 325, ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
37 - 13 = 24
109 - 37 = 72
325 - 109 = 216
The differences between consecutive terms are 24, 72, and 216.
Notice that each difference is a multiple of 24:
72 = 24 × 3
216 = 24 × 9
The next difference should be 24 × 27 = 648 (since 3² = 9 and 3³ = 27).
Now, add this difference to the last number in the series:
325 + 648 = 973
∴ The missing term in the series is 973.
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