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Solve the recurrent T(n)=rT(n-1)+r^n with T(0)=1. Please explain your thinking - I don't just want an...

Solve the recurrent T(n)=rT(n-1)+r^n with T(0)=1. Please explain your thinking - I don't just want an answer but to understand the approach for the next time I have this equation. Thank you!

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