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(n + 1)(2n + 1)/6 for the positive integer r )What is the statement P(1)? -) Show that P(1) is true, completing the b

(n + 1)(2n + 1)/6 for the positive integer r )What is the statement P(1)? -) Show that P(1) is true, completing the b

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 30E
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Let P(n) be the statement that 12+ 2² + ...+ n² = n(n + 1)(2n + 1)/6 for the positive integer n. a) What is the statement P(1)? b) Show that P(1) is true, completing the basis step of the proof. c) What is the inductive hypothesis? d) What do you need to prove in the inductive step? e) Complete the inductive step, identifying where you use the inductive hypothesis.
Transcribed Image Text:Let P(n) be the statement that 12+ 2² + ...+ n² = n(n + 1)(2n + 1)/6 for the positive integer n. a) What is the statement P(1)? b) Show that P(1) is true, completing the basis step of the proof. c) What is the inductive hypothesis? d) What do you need to prove in the inductive step? e) Complete the inductive step, identifying where you use the inductive hypothesis.
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