n Prove by induction that Σ (− 1) ¹;² = (-1)”n(n+1) 2 i=1 n Prove that Σ i=1 1 i(i+1) = n n+1

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 32E: Prove by induction that 1+2n3n for n1.
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n
4. Prove by induction that Σ(− 1)² = (−1)n(n+1)
2
i=1
5. Prove that
n
i=1
1
i(i+1)
=
n
n+1
Transcribed Image Text:n 4. Prove by induction that Σ(− 1)² = (−1)n(n+1) 2 i=1 5. Prove that n i=1 1 i(i+1) = n n+1
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