a)Find a formula for 1/1⋅2+1/2⋅3+⋯+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).
a)Find a formula for 1/1⋅2+1/2⋅3+⋯+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).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 65E
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a)Find a formula for
1/1⋅2+1/2⋅3+⋯+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).
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