- #1
bcjochim07
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1. Homework Statement
Determine the number of terms required to approximate the sum of the series with an error of less than .001
Sum ((-1)^(n+1))/(n^3) from n=1 to infinity
2. Homework Equations
3. The Attempt at a Solution
I guess this is what you do:
1/(n+1)^3 < 1/1000
and solving you get n+1 > 10 so the answer is 10 terms
But that doesn't quite make sense to me, and I'm not sure why.
Alternating series remainder theorem:
|S-Sn| =|Rn|< or = to an+1
Could someone please explain this to me?
Determine the number of terms required to approximate the sum of the series with an error of less than .001
Sum ((-1)^(n+1))/(n^3) from n=1 to infinity
2. Homework Equations
3. The Attempt at a Solution
I guess this is what you do:
1/(n+1)^3 < 1/1000
and solving you get n+1 > 10 so the answer is 10 terms
But that doesn't quite make sense to me, and I'm not sure why.
Alternating series remainder theorem:
|S-Sn| =|Rn|< or = to an+1
Could someone please explain this to me?