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

  • Thread starter Thread starter teng125
  • Start date Start date
  • Tags Tags
    Sequences
Click For Summary
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.
teng125
Messages
416
Reaction score
0
hiw to solve for infinity sum (n=1) [sin n(pi)] / 6 ??
pls help...thanx
 
Physics news on Phys.org
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!
 

Similar threads

Solve the given problem involving probability without replacement
  • · Replies 10 ·
Replies
10
Views
3K
Find the nth term of the given sequence
  • · Replies 7 ·
Replies
7
Views
2K
How to Solve Arithmetic Sequence Problems
  • · Replies 1 ·
Replies
1
Views
2K
Solving equations of the form ##a\sin\theta+b\cos\theta = c##
  • · Replies 2 ·
Replies
2
Views
2K
Find the sum of the coefficients in the expansion ##(1+x)^n##
  • · Replies 5 ·
Replies
5
Views
2K
Trigonometric equation of two sines
  • · Replies 8 ·
Replies
8
Views
2K
Geometric Sequence and the Limiting Value
  • · Replies 4 ·
Replies
4
Views
2K
Geometric Sequence to solve an Interest Problem
  • · Replies 2 ·
Replies
2
Views
1K
Trying to find an easier way to compute the double sum
  • · Replies 7 ·
Replies
7
Views
2K
Definition of Convergence: Can n -> -infinity
  • · Replies 7 ·
Replies
7
Views
2K