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find b if b/7 + b^3/7^3 + b^5/7^5...=7.

 May 28, 2023
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b=6.5179 - this is the approx. value of b

 

6.5179 / 7==0.931128571428 this is the first term of an infinite GS

 

7 ==0.931128571428 / [1  -  r], solve for r

 

r ==0.866981632653061 - this is the common ratio of the infinite GS

 

Sum=0.931128571428 / [1  -  0.866981632653061] ==7

 May 29, 2023
edited by Guest  May 29, 2023

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