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4. Prove that if n ≥ 1,

4. Prove that if n ≥ 1,

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 4:** Prove that if \( n \geq 1 \), \[ \sum_{r=0}^{n} (-1)^r r \binom{n}{r} = 0. \] **Hint:** Use the Binomial Theorem.
Transcribed Image Text:**Problem 4:** Prove that if \( n \geq 1 \), \[ \sum_{r=0}^{n} (-1)^r r \binom{n}{r} = 0. \] **Hint:** Use the Binomial Theorem.
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