Geometric Series by Long Division Problem: The limit, S, of the partial sums for a
Chapter 14, Problem 8(choose chapter or problem)
Geometric Series by Long Division Problem: The limit, S, of the partial sums for a convergent geometric series is given by where t1 is the first term of the sequence and r is the common ratio. a. Use long division to divide (1 r) into 1. Show that the result is the geometric series S = t1 + t1r + t1r2 + t1r3 +t1r4 + t1r5 + b. The result illustrates the way you can do mathematical problems backward as well as forward. Give another instance in which you can use this forward-and-backward phenomenon.
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