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QUESTION 1 Let P(n) be the statement 1³ +2³ +3³ +...+n³ n² (n+1)² +4 4 (a) Use P(k) to show P(x + 1). (b) Is P(n) true for all n >1?

QUESTION 1 Let P(n) be the statement 1³ +2³ +3³ +...+n³ n² (n+1)² +4 4 (a) Use P(k) to show P(x + 1). (b) Is P(n) true for all 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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QUESTION 1 Let P(n) be the statement 1³ +2³+3³ +...+n² n² (n + 1)² +4 4 (a) Use P(k) to show P(k+1). (b) Is P(n) true for all n ≥1? [6 + 3 = 9]
Transcribed Image Text:QUESTION 1 Let P(n) be the statement 1³ +2³+3³ +...+n² n² (n + 1)² +4 4 (a) Use P(k) to show P(k+1). (b) Is P(n) true for all n ≥1? [6 + 3 = 9]
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