SOLUTION: √5/√3 + √(3)/√(5) + 3/5*√(3)/√(5)+... this is limitless sequence Sn is required

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Question 388736: √5/√3 + √(3)/√(5) + 3/5*√(3)/√(5)+... this is limitless sequence Sn is required
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


We check to see if it is a geometric series:

Dividing the second term by the first term:



Dividing the third term by the second term:



Since we got the same thing both times, it's a geometric series
and the common ratio is what we got, namely 

The formula for the infinite sum is:



where 

Let's rationalize the denominator of that



and . Substituting:



Edwin
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