Evaluate the series .

\(\dfrac{1}{3^1}+\dfrac{4}{3^2}+\dfrac{7}{3^3}+\dfrac{10}{3^4}+\cdots\)

Guest Feb 15, 2020

#5**+4 **

Call this series S. We compare S to 1/3 S:

Subtracting the second equation from the first, we see that

Therefore,

SpongeBobRules24 Feb 15, 2020

#7**+2 **

I tried this answer and it is correct, one of the users above got the same answer as me

SpongeBobRules24 Feb 16, 2020