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(1) Prove by induction: ₁(²- i+1)= n³+2n (2) Prove by induction: 1(1!) + 2(2!) + + n(n!) = (n + 1)! - 1.

(1) Prove by induction: ₁(²- i+1)= n³+2n (2) Prove by induction: 1(1!) + 2(2!) + + n(n!) = (n + 1)! - 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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(1) Prove by induction: ₁(²- i+ 1) = n³+2n (2) Prove by induction: 1(1!) + 2(2!) + + n(n!) = (n + 1)! - 1.
Transcribed Image Text:(1) Prove by induction: ₁(²- i+ 1) = n³+2n (2) Prove by induction: 1(1!) + 2(2!) + + n(n!) = (n + 1)! - 1.
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