Question
Obtain the sum of the first 50 terms of the series $\frac{5}{7}+\frac{19}{7^{2}}+\frac{69}{7^{3}}+\frac{263}{7^{4}}+\ldots$
Step 1
We can rewrite this series as $\frac{1}{7}+\frac{4}{7^{2}}+\frac{9}{7^{3}}+\frac{16}{7^{4}}+\ldots$ + $\frac{4}{7}+\frac{15}{7^{2}}+\frac{60}{7^{3}}+\frac{247}{7^{4}}+\ldots$. Show more…
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