Mathematics: What is the explicit rule for this geometric sequence? 2/9,2/3,2, an=3(2/9)^n−1 an=2/9⋅3^n−1 an=2/9⋅3^n an=3(2/9)n

What is the explicit rule for this geometric sequence?

Ответ:

BreBreDoeCCx

11.03.2022

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

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Ответ:

deshundradenton59

31.01.2020

Mathematics

99 is a composite number. 99 = 1 x 99, 3 x 33, or 9 x 11 :)))

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What is the explicit rule for this geometric sequence? 2/9,2/3,2, an=3(2/9)^n−1 an=2/9⋅3^n−1 an=2/9⋅3^n an=3(2/9)n

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