a) Finite geometic series 3645 40 +60+90 + ... 8 40 +60 + 90 + + ( 3645/8 ) ... Find the formula for the nth term of this series. How many terms are being added. Then apply the formula for a finite geometric series to find the sum. b) Infinite geometric serion

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.CR: Chapter Review
Problem 6CC
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a) Finite geometic series
3645
40 +60 + 90+
...
8.
40 + 60 + 90+
+ ( 3645/8 )
...
Find the formula for the nth term of this series. How many terms are being added.
Then apply the formula for a finite geometric series to find the sum.
b) Infinite geometric series
+ 200(0.9)"-1
+ 200 (0.9)^(n-1) +..
200 + 180 + 162 +
***
...
200 + 180 + 162 +
Apply the geometric series formula to find the (limiting) sum of the infinite number of terms in this series
c) Infinite series for repeating decimal
0.134 = 0.134134...
%3D
0.134134...
express as an infinite geometric series, and use the series formula to rewrite this as a rational number
For the
Transcribed Image Text:a) Finite geometic series 3645 40 +60 + 90+ ... 8. 40 + 60 + 90+ + ( 3645/8 ) ... Find the formula for the nth term of this series. How many terms are being added. Then apply the formula for a finite geometric series to find the sum. b) Infinite geometric series + 200(0.9)"-1 + 200 (0.9)^(n-1) +.. 200 + 180 + 162 + *** ... 200 + 180 + 162 + Apply the geometric series formula to find the (limiting) sum of the infinite number of terms in this series c) Infinite series for repeating decimal 0.134 = 0.134134... %3D 0.134134... express as an infinite geometric series, and use the series formula to rewrite this as a rational number For the
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