This is a discrete math problem. Please explain each step clearly, no cursive writing. **Using an induction argument, prove that for any positive integer $ n $,**\[\sum_{j=1}^{n} \frac{1}{j(j+1)} = 1 - \frac{1}{n+1}.\]

Name: This is a discrete math problem. Please explain each step clearly, no
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Description: This is a discrete math problem. Please explain each step clearly, no cursive writing. **Using an induction argument, prove that for any positive integer $ n $,**\[\sum_{j=1}^{n} \frac{1}{j(j+1)} = 1 - \frac{1}{n+1}.\]

we have to prove given identity using induction method: Algorithm: Obtained P(n) and understand…

Answered: 1 n 1 =1 – j(j+1) n+1°

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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This is a discrete math problem. Please explain each step clearly, no cursive writing.

**Using an induction argument, prove that for any positive integer $ n $,**

\[
\sum_{j=1}^{n} \frac{1}{j(j+1)} = 1 - \frac{1}{n+1}.
\]

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