(b) Prove by mathematical induction that if n € N, then11 1 1 1+ + + +1.2 2.3 3.44.5+n(n+1)= 11n+ 1

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Prove by mathematical induction that if n e N, then 1 1 1 1 1 + +2.3+3.4+ 4.5 1.2 n(n+1) + = 1 1 n+1

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.CT: Chapter Test

Problem 15CT

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Question

(b) Prove by mathematical induction that if n € N, then
1
1 1 1 1
+ + + +
1.2 2.3 3.4
4.5
+
n(n+1)
= 1
1
n+ 1

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