A Geometric Series is the sum of an infinite terms that the ration of two consecutive terms is a constant a. In general, it can be expressed as Σ 00 n+1 > ar" = n=0 r - Alternatively, 구) a + ar + ar + ar* + ... + ar" | r - 1 If the constant a = 1, prove the following geometric series by induction %3D

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Chapter1: Functions And Models
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1. A Geometric Series is the sum of an infinite terms that the ration of two consecutive terms is a
constant a. In general, it can be expressed as
Σ
ar" = a
n=0
Alternatively,
a + ar + ar + ar° + ... + ar" = a
( pn+1
If the constant a = 1, prove the following geometric series by induction
1+r+r² + r³+... + r" =
pn+1
Transcribed Image Text:1. A Geometric Series is the sum of an infinite terms that the ration of two consecutive terms is a constant a. In general, it can be expressed as Σ ar" = a n=0 Alternatively, a + ar + ar + ar° + ... + ar" = a ( pn+1 If the constant a = 1, prove the following geometric series by induction 1+r+r² + r³+... + r" = pn+1
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