In series A, the first term is 2, and the common ratio is 0.5. In series B, the first term is 3, and the two infinite series have the same sum. What is the ratio in series B?​

Dillard 2021-03-07 Answered
In series A, the first term is 2, and the common ratio is 0.5. In series B, the first term is 3, and the two infinite series have the same sum. What is the ratio in series B?​
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Expert Answer

Laith Petty
Answered 2021-03-08 Author has 103 answers

Given
First term of series Aa=2
Common ratio of series ArA=0.5
First term of series Bb=3 Let common ratio of series Brb
Sum of infinite geometric series is given by-
S=a1r
Sum of series A-
SA=a1ra
Sum of series B-
SB=b1rb
Sum of both the series are same.
SA=SB
a1ra=b1rb
210.5=31rb
4=31rb
1rb=34
rb=14
rb=0.25
Common ratio of series B is 0.25

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Jeffrey Jordon
Answered 2021-12-16 Author has 2064 answers

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