how many terms do you have to go for your approximation (your partial sum) to be within 0.0001 from the convergent value of that series? For the following alternating series,∑ for n=1 to infinity of asubn = 1- (1/10) + (1/100) - (1/1000) + .........how many terms do you have to go for your approximation (your partial sum) to be within 0.0001 from the convergent value of that series? please show work so I can understand. Thank you!

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This is a geometric alternating sereis with first term, a = 1 and the common ratio,r is `(-1/10)` .

Sum of first n terms is,

`S_n = a(1-r^n)/(1-r)`

`S_oo = a/(1-r)`

`S_n =...

(The entire section contains 93 words.)

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