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Q30E

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Discrete Mathematics and its Applications
Found in: Page 330
Discrete Mathematics and its Applications

Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095

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Short Answer

Prove that H1+H2++Hn=(n+1)Hnn

H21+n is a non negative integer.

See the step by step solution

Step by Step Solution

Step: 1

If H1=1

it is true for n=1.

Step: 2

Let P(k) be true.

H1+H2++Hk=(k+1)Hkk

We need to prove that P(k+1) is true.

Step: 3

H1+H2++Hk (k+1)Hkk+Hk+1=(k+1)Hkk

It is true for P (k+1) is true

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