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Arlecino [84]
3 years ago
12

A recursive rule for a geometric sequence is a1=3;an=1/2an−1.

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

\text{The explicit rule of geometric sequence}\\\\a_n=a_1 r^{n-1}\\------------------------------\\\text{We have the recursive form}\ a_1=3,\ a_n=\dfrac{1}{2}\cdot a_{n-1}.\\\\\text{Therefore}\ r=\dfrac{1}{2}.\ \text{Substitute:}\\\\\boxed{a_n=3\left(\dfrac{1}{2}\right)^{n-1}}

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