Infinity Sum: Solving Sequences with Sin n(pi) / 6

Thread starter teng125
Start date Jan 20, 2006
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Sequences

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The discussion focuses on solving the infinite sum of the sequence sin(nπ)/6 for n starting from 1. Participants suggest computing the first few values and partial sums to identify a pattern or formulate a guess about convergence. It is confirmed that since all terms of the sequence equal zero, the sum converges. The conversation emphasizes the importance of analyzing the sequence's behavior to understand its convergence properties. Overall, the sequence converges to zero.

Jan 20, 2006

teng125

hiw to solve for infinity sum (n=1) [sin n(pi)] / 6 ??
pls help...thanx

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Jan 20, 2006

Hurkyl

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Do you mean how to compute that sum? Have you tried writing out its first few values and computing the first few partial sums, to try and formulate a guess?

Jan 20, 2006

teng125

all equals to zero and converges right??

Jan 20, 2006

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

If all the terms sums are zero, then yes, it will converge!

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