a) Find A and B such that (12)* (4k+1_3k+1)(4* _3k) 3* A + 4k _3k 3*B 4k+1_3k+1 b) Use the result in part a) to find a closed form of the nth partial sum of the series (12)* Ek=1 (gki1_gk+1)(4* –3*) and then find the sum of the series.
a) Find A and B such that (12)* (4k+1_3k+1)(4* _3k) 3* A + 4k _3k 3*B 4k+1_3k+1 b) Use the result in part a) to find a closed form of the nth partial sum of the series (12)* Ek=1 (gki1_gk+1)(4* –3*) and then find the sum of the series.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 34E
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