How do you prove that \frac{10^n-1}{10^n-2}=1+\sum_{i=0}^\infty 2^i\times10^{-n(i+1)}

Bradlee Hooper

Bradlee Hooper

Answered question


How do you prove that

Answer & Explanation

Elijah Hunt

Elijah Hunt

Beginner2022-02-28Added 5 answers

Your sum is a geometric series:
You are done once you observe that

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