Question
Show, using mathematical induction, that in a geometric sequence $a_{n}=a_{1} r^{n-1}$
Step 1
We let $n=1$ and check if the formula holds. The left side of the equation is $a_1$. The right side of the equation is $a_1 \cdot r^{1-1} = a_1 \cdot r^0 = a_1$. Since the left side equals the right side, the base case is true. Show more…
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