Prove that, for n = 1, 2, ..., we have 1 1 + 1.2 2.3 +...+ n(n+1) = n 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
Section8.5: Mathematical Induction
Problem 32E: Prove by induction that 1+2n3n for n1.
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![Prove that, for n = 1, 2, ..., we have
1
1
+
1.2 2.3
+...+
n(n+1)
=
n
n+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7825aad8-d50f-4c82-80e8-3c170dc836f7%2F60113dfc-5d5e-4357-a9f1-9d058958a5fd%2F12xa6h8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that, for n = 1, 2, ..., we have
1
1
+
1.2 2.3
+...+
n(n+1)
=
n
n+1
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