Question
Download Solution PDF2, 3, 10, 39, 172,?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
2, 3, 10, 39, 172, ?
Formula used:
Observe pattern in the sequence
Calculation:
The Logic is : a(n) = a(n−1) × (n−1) + (n−1)²
Let us apply and check this:
1st term = 2
2nd term = 2×1 + 1 = 3
3rd term = 3×2 + 4 = 10
4th term = 10×3 + 9 = 39
5th term = 39×4 + 16 = 172
6th term = 172×5 + 25 = 860 + 25 = 885
∴ The correct answer is option (2).
Last updated on Mar 21, 2025
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