I don't know how to go about determining whether this series converges or diverges: The summation from k=0 to infinity of ( (1/2^k) - (1/3^k) )
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Originally Posted by maddie I don't know how to go about determining whether this series converges or diverges: The summation from k=0 to infinity of ( (1/2^k) - (1/3^k) ) Split them up $\displaystyle \sum_{k=0}^{\infty} \frac{1}{2^k} - \sum_{k=0}^{\infty} \frac{1}{3^k} $ Both are geometric series.
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