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12345 [234]
3 years ago
7

What is the explicit rule for this geometric sequence?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

a_1=\dfrac{2}{9},\ a_2=\dfrac{2}{3},\ a_3=2,\ a_4=6,\ ...\\\\r=a_2:a_1\\\\r=\dfrac{2}{3}:\dfrac{2}{9}=\dfrac{2}{3}\cdot\dfrac{9}{2}=3\\\\a_n=a_1r^{n-1}\\\\\boxed{a_n=\dfrac{2}{9}\cdot3^{n-1}}

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Answer:

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