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k It is known that ( + (₁ ²₁₂) + (k) = (²+¹) (k + 1). Prove that r - 2 (k) + ( k + ¹ ) + ( k + ²) + ... + (k+r) = (k+r+¹) k

k It is known that ( + (₁ ²₁₂) + (k) = (²+¹) (k + 1). Prove that r - 2 (k) + ( k + ¹ ) + ( k + ²) + ... + (k+r) = (k+r+¹) k

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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1. It is known that ² (₁₂ k ₁₂ ) + ( k) = (k + ¹) ( Prove that - r 2 (k) + (k + ¹) + (k + ²) + ... + (k + r) = (k+ + + ¹) k
Transcribed Image Text:1. It is known that ² (₁₂ k ₁₂ ) + ( k) = (k + ¹) ( Prove that - r 2 (k) + (k + ¹) + (k + ²) + ... + (k + r) = (k+ + + ¹) k
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