Find the sum of 35n2n from n1 to infinity Im trying to chang
Find the sum of (3/(5^n))+(2/n) from n=1 to infinity.
I\'m trying to change the expression to get it under one power so I can use the a/(1-r) equation to find the sum if convergent. But I can\'t! I know the answer is divergent but I would like to find out why and if it is possible to get the expression raised to one power. Please help. Thank you :)
I\'m trying to change the expression to get it under one power so I can use the a/(1-r) equation to find the sum if convergent. But I can\'t! I know the answer is divergent but I would like to find out why and if it is possible to get the expression raised to one power. Please help. Thank you :)
Solution
The sum is > sum (2/n) from 1 to infinity which is 2 times the harmonic series, which is divergent. Hence, the original series is also divergent.
sum(3/5^n + 2/n) sum(2/n) = infinity (harmonic series)
