a) Find a formula for by examining the values of this

Chapter 5, Problem 10E

(choose chapter or problem)

a) Find a formula for

$\frac{1}{1 \cdot 2}+\frac{1}{2 \cdot 3}+\cdots+\frac{1}{n(n+1)}$

by examining the values of this expression for small values of $n$.

b) Prove the formula you conjectured in part (a).

Equation Transcription:

$\frac{1}{1.2\ }\ +\ \frac{1}{2.3}\ +\ \cdot{}\cdot{}\cdot{}\ +\ \frac{1}{n(n+1)}$

$n$

Text Transcription:

\frac{1}{1 \cdot 2} + \frac{1}{2 \cdot 3}+\cdots + \frac{1}{n(n+1)}

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