Question
Let $a_{1}, a_{2}, a_{3}, \ldots, a_{n}, \ldots$ be a geometric sequence. Find each of the indicated quantities.$$a_{1}=\frac{1}{2}, a_{12}=1,024 ; S_{12}=?$$
Step 1
We can use the formula for the nth term of a geometric sequence to find the common ratio, r. The formula is $a_{n}=a_{1}r^{n-1}$. Show more…
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