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#10 P(n)= {P(~ S₁ if if n=o 2P(n-1)+n² if m² no guess is: f(n) = 1+1 ² + 2 ² + 3² + ... + n² 2 = ±n(n+1)(2n+1) 6

#10 P(n)= {P(~ S₁ if if n=o 2P(n-1)+n² if m² no guess is: f(n) = 1+1 ² + 2 ² + 3² + ... + n² 2 = ±n(n+1)(2n+1) 6

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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Please show the guess is correct by induction... if guess isn't right propose and prove right one.

#10 P(n)= {P(~ S₁ if if n=o 2P(n-1)+n² if m² no guess is: f(n) = 1+1 ² + 2 ² + 3² + ... + n² 2 = ±n(n+1)(2n+1) 6
Transcribed Image Text:#10 P(n)= {P(~ S₁ if if n=o 2P(n-1)+n² if m² no guess is: f(n) = 1+1 ² + 2 ² + 3² + ... + n² 2 = ±n(n+1)(2n+1) 6
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