Question
GEOMETRIC SERIES Use mathematical induction to prove the formula $a_{1}+a_{1} r+a_{1} r^{2}+\cdots+a_{1} r^{n-1}=\frac{a_{1}\left(1-r^{n}\right)}{1-r}$ for the sum of a finite geometric series.
Step 1
The left hand side of the equation becomes $a_{1}$ and the right hand side becomes $a_{1}(1-r^{1})/(1-r) = a_{1}$. Therefore, the equation holds true for n=1. Show more…
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