n Prove by induction that Σ (− 1) ¹;² = (-1)”n(n+1) 2 i=1 n Prove that Σ i=1 1 i(i+1) = n n+1
n Prove by induction that Σ (− 1) ¹;² = (-1)”n(n+1) 2 i=1 n Prove that Σ i=1 1 i(i+1) = n n+1
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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Discrete math
![n
4. Prove by induction that Σ(− 1)² = (−1)n(n+1)
2
i=1
5. Prove that
n
i=1
1
i(i+1)
=
n
n+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd59f05c3-4415-4ca2-b4e0-e0ed7e94ea7b%2F5d99ea6b-2756-440e-8319-53af2443adec%2Fd7x5ogd_processed.png&w=3840&q=75)
Transcribed Image Text:n
4. Prove by induction that Σ(− 1)² = (−1)n(n+1)
2
i=1
5. Prove that
n
i=1
1
i(i+1)
=
n
n+1
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