QuestionFind a formula for the general term $a_{n}$ of the sequence assuming the pattern of the first few terms continues. $\left\{\frac{7}{2}, \frac{7}{4}, \frac{7}{8}, \frac{7}{16}, \frac{7}{32}, \ldots\right\}$
Assume the first term is $a_{1}$ . $a_{n}=$

Studdy Solution
Substitute $a_1 = \frac{7}{2}$ and $r = \frac{1}{2}$ into the formula: $a_n = \frac{7}{2} \cdot \left(\frac{1}{2}\right)^{n-1}$
The formula for the general term $a_n$ of the sequence is:
$a_n = \frac{7}{2^n}$

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