Given any series Σ an, we define a series
Notice that if an > 0, then
(a) If Σ an is absolutely convergent, show that both of the series
(b) If Σ an is conditionally convergent, show that both of the series
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Calculus: Early Transcendentals
- Prove the formula for the sum of the first n terms of an arithmetic series: a+a+d+a+2d+a+n-1d=na+an2 where an=a+n-1d.arrow_forwardUse the formula for the sum of the first n terms of a geometric series to find k=170.2(5)k1 .arrow_forwardWrite an explicit formula for a such that k=06ak=189 . Assume this is an arithmetic series.arrow_forward
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