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Problem 5.3 Prove that n(n+1)(2n + 1) (3n² + 3n – 1) 30 j=1 whenever n is a positive integer.

Problem 5.3 Prove that n(n+1)(2n + 1) (3n² + 3n – 1) 30 j=1 whenever n is a positive integer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 5.3** Prove that \[ \sum_{j=1}^{n} j^4 = \frac{n(n + 1)(2n + 1)(3n^2 + 3n - 1)}{30} \] whenever \( n \) is a positive integer.
Transcribed Image Text:**Problem 5.3** Prove that \[ \sum_{j=1}^{n} j^4 = \frac{n(n + 1)(2n + 1)(3n^2 + 3n - 1)}{30} \] whenever \( n \) is a positive integer.
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