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))
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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) (Show Source): You can put this solution on YOUR website!
Presuming you want
,
this is equal to
(3^n)}{2^n3^n3^n5^n5^n7^n} + \frac{3(3^n)(5^n)}{2^n3^n3^n5^n5^n7^n} + \frac{5(5^n)(7^n)}{2^n3^n3^n5^n5^n7^n})
This can be split into three sums, all of them convergent.
 + 3(\frac{141}{140}) + 5(\frac{91}{90}))
And you can simplify from there.
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