Question
Determine the largest value of $n$ that satisfies the inequality.$$\sum_{k=1}^{n} \frac{2}{5^{k}}<\frac{1}{2}$$
Step 1
Step 1: The given sequence is a geometric series with first term $a = \frac{2}{5}$ and common ratio $r = \frac{1}{5}$. Show more…
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