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Suppose that k and n > k are fixed positive integer. Justify the identity n k +1 j=k

Suppose that k and n > k are fixed positive integer. Justify the identity n k +1 j=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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Suppose that \( k \) and \( n \geq k \) are fixed positive integers. Justify the identity \[ \sum_{j=k}^{n} \binom{j}{k} = \binom{n+1}{k+1} \]
Transcribed Image Text:Suppose that \( k \) and \( n \geq k \) are fixed positive integers. Justify the identity \[ \sum_{j=k}^{n} \binom{j}{k} = \binom{n+1}{k+1} \]
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