Can someone help me evaluate$sum_{n=0}^{infty} {r^n sin ntheta}$ if $r=0.5$ and $theta = pi/3$?
0
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Can someone help me evaluate $sum_{n=0}^{infty} {r^n sin ntheta}$ if $r=0.5$ and $theta = pi/3$? This never looks like a pattern. Can someone help?
sequences-and-series
edited Dec 30 '18 at 10:26
metamorphy
3,8971721
asked Dec 30 '18 at 10:21
user187604user187604
289111
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add a comment |
0
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Can someone help me evaluate $sum_{n=0}^{infty} {r^n sin ntheta}$ if $r=0.5$ and $theta = pi/3$? This never looks like a pattern. Can someone help?
sequences-and-series
edited Dec 30 '18 at 10:26
metamorphy
3,8971721
asked Dec 30 '18 at 10:21
user187604user187604
289111
$endgroup$
6
$begingroup$
This is $Imsum_{n=0}^{infty}big(re^{itheta}big)^n$ with the sum of a geometric series.
$endgroup$
– metamorphy
Dec 30 '18 at 10:28
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math.stackexchange.com/questions/364631/…
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– lab bhattacharjee
Dec 30 '18 at 11:28
add a comment |
0
0
0
$begingroup$
Can someone help me evaluate $sum_{n=0}^{infty} {r^n sin ntheta}$ if $r=0.5$ and $theta = pi/3$? This never looks like a pattern. Can someone help?
sequences-and-series
edited Dec 30 '18 at 10:26
metamorphy
3,8971721
asked Dec 30 '18 at 10:21
user187604user187604
289111
$endgroup$
Can someone help me evaluate $sum_{n=0}^{infty} {r^n sin ntheta}$ if $r=0.5$ and $theta = pi/3$? This never looks like a pattern. Can someone help?
sequences-and-series
sequences-and-series
edited Dec 30 '18 at 10:26
metamorphy
3,8971721
asked Dec 30 '18 at 10:21
user187604user187604
289111
edited Dec 30 '18 at 10:26
metamorphy
3,8971721
asked Dec 30 '18 at 10:21
user187604user187604
289111
edited Dec 30 '18 at 10:26
metamorphy
3,8971721
edited Dec 30 '18 at 10:26
metamorphy
3,8971721
edited Dec 30 '18 at 10:26
metamorphy
3,8971721
3,8971721
asked Dec 30 '18 at 10:21
user187604user187604
289111
asked Dec 30 '18 at 10:21
user187604user187604
289111
asked Dec 30 '18 at 10:21
user187604user187604
289111
289111
6
$begingroup$
This is $Imsum_{n=0}^{infty}big(re^{itheta}big)^n$ with the sum of a geometric series.
$endgroup$
– metamorphy
Dec 30 '18 at 10:28
$begingroup$
math.stackexchange.com/questions/364631/…
$endgroup$
– lab bhattacharjee
Dec 30 '18 at 11:28
add a comment |
6
$begingroup$
This is $Imsum_{n=0}^{infty}big(re^{itheta}big)^n$ with the sum of a geometric series.
$endgroup$
– metamorphy
Dec 30 '18 at 10:28
$begingroup$
math.stackexchange.com/questions/364631/…
$endgroup$
– lab bhattacharjee
Dec 30 '18 at 11:28
6
6
$begingroup$
This is $Imsum_{n=0}^{infty}big(re^{itheta}big)^n$ with the sum of a geometric series.
$endgroup$
– metamorphy
Dec 30 '18 at 10:28
$begingroup$
This is $Imsum_{n=0}^{infty}big(re^{itheta}big)^n$ with the sum of a geometric series.
$endgroup$
– metamorphy
Dec 30 '18 at 10:28
$begingroup$
math.stackexchange.com/questions/364631/…
$endgroup$
– lab bhattacharjee
Dec 30 '18 at 11:28
$begingroup$
math.stackexchange.com/questions/364631/…
$endgroup$
– lab bhattacharjee
Dec 30 '18 at 11:28
add a comment |
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6
$begingroup$
This is $Imsum_{n=0}^{infty}big(re^{itheta}big)^n$ with the sum of a geometric series.
$endgroup$
– metamorphy
Dec 30 '18 at 10:28
$begingroup$
math.stackexchange.com/questions/364631/…
$endgroup$
– lab bhattacharjee
Dec 30 '18 at 11:28