Mathematica solution with an imaginary part

  • Mathematica
  • Thread starter ehrenfest
  • Start date
1,996
1

Main Question or Discussion Point

Can someone please explain why the result of the following has an imaginary part when I put it into mathematica 6.0?

Code:
Sum[Sin[n 6]/2^n, {n, 1, Infinity}]
 

Answers and Replies

1
0
Because
Code:
Sin[n 6] / 2^n
is
Code:
2^-n * Sin[n 6]
 
1,222
2
Wrap it in a full simplify command:

Code:
FullSimplify[Sum[Sin[n 6]/2^n, {n, 1, Infinity}]]
 
1,996
1
Because
Code:
Sin[n 6] / 2^n
is
Code:
2^-n * Sin[n 6]
So what?
 

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