Prove the statements using mathematical induction for all positive integers n. 1. 1³ + 2³ + 3³ + 4³ + ... + n³ = n²(n+1)² 4 1 3.4 4.5 2. 21/35+23 1414 + 1 (n+1)(n+2) n 2(n+2)
Prove the statements using mathematical induction for all positive integers n. 1. 1³ + 2³ + 3³ + 4³ + ... + n³ = n²(n+1)² 4 1 3.4 4.5 2. 21/35+23 1414 + 1 (n+1)(n+2) n 2(n+2)
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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Transcribed Image Text:Prove the statements using mathematical induction for
all positive integers n.
1. 1³ + 2³ +3³ +4³ +...+n³ =
12/1/3+1/4+1/2/15
2.
+
1
(n+1)(n+2)
n²(n+1)²
4
n
2(n+2)
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