SOLUTION: sum the series of...The infinite sum of (((2^(n+1))(3^n))+((3^(n+1))(5^n))+((5^(n+1))(7^n)))/((6^n)(15^n)(35^n))

Algebra ->  Sequences-and-series -> SOLUTION: sum the series of...The infinite sum of (((2^(n+1))(3^n))+((3^(n+1))(5^n))+((5^(n+1))(7^n)))/((6^n)(15^n)(35^n))       Log On


   

Question 473442: sum the series of...The infinite sum of (((2^(n+1))(3^n))+((3^(n+1))(5^n))+((5^(n+1))(7^n)))/((6^n)(15^n)(35^n))
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Presuming you want

,

this is equal to







This can be split into three sums, all of them convergent.



And you can simplify from there.