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

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Homework Help Overview

The discussion revolves around evaluating an infinite sum involving the sine function, specifically the expression sin(nπ)/6 for n starting from 1. The participants are exploring the convergence of this series.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the computation of the sum and consider examining the first few terms and partial sums to identify a pattern or formulate a hypothesis about convergence.

Discussion Status

The conversation is ongoing, with some participants suggesting methods to analyze the sum while others express assumptions about the convergence of the series. There is no explicit consensus on the approach or outcome yet.

Contextual Notes

There is a question regarding the nature of the terms in the series and whether they indeed sum to zero, which is central to the discussion of convergence.

teng125
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hiw to solve for infinity sum (n=1) [sin n(pi)] / 6 ??
pls help...thanx
 
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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?
 
all equals to zero and converges right??
 
If all the terms sums are zero, then yes, it will converge!
 

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