For each positive number n, let P(n)be the formula 1 1 (1+;)(1+ (1+– = n + 1. .. (a) Write P(1). Is P(1) true? (b) Write P(k). (c) Write P(k+1). Hence complete the inductive step to prove by mathematical induction that P(n) holds for all positive inters n.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
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For each positive number n, let P(n)be the formula
(1+)(1+;).…· (1 +
= n + 1.
...
(a) Write P(1). Is P(1) true?
(b) Write P(k).
(c) Write P(k+1). Hence complete the inductive step to prove by mathematical
induction that P(n) holds for all positive inters n.
Transcribed Image Text:For each positive number n, let P(n)be the formula (1+)(1+;).…· (1 + = n + 1. ... (a) Write P(1). Is P(1) true? (b) Write P(k). (c) Write P(k+1). Hence complete the inductive step to prove by mathematical induction that P(n) holds for all positive inters n.
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