Prove: for every positive integer n, 1/(1*2) + 1/(2*3) + 1/(3*4) + ... + 1/(n(n+1)) = n/(n+1)
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Question:
- Prove: for every positive integer n, 1/(1*2) + 1/(2*3) + 1/(3*4) + ... + 1/(n(n+1)) = n/(n+1)
- Prove: for every integer n, 1+2+3+,,,+n = n(n+1)/2
- Prove: if a sequence is defined recursively by a1 =1 and an = n/(n-1) an-1 for n> 2 then an=n for every positive integer n
Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
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