CODEWITHSUNDEEP
wolfram-mathematica
Chikorita Rai
Chikorita Rai

Reputation: 951

Summation of an infinite series

For the following series, 

S= Sum[(e^(a*m*n))*((b^(-m)*(n/2)))),{m,1,infinity}]

I get the output:

By the geometric series test, the series converges.

How to get the actual value of the infinite sum?

Kindly help. Thanks in advance.

Upvotes: 0

Views: 1206

Answers (1)

Code Different
Code Different

Reputation: 93181

Did you actually run the code in Mathematica? You have an extra round bracket. Also infinity is a user variable. Infinity (capital I) is a built in Mathematica symbol:

S = Sum[(e^(a*m*n))*((b^(-m)*(n/2))), {m, 1, Infinity}]

Result:

-((e^(a n) n)/(2 (-b + e^(a n))))

I also suspect that e is the natural exponent. If so, use the capital E.

Upvotes: 2

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