Mathematics: Correct answer only ! the recursive rule for a geometric sequence is given.

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Correct answer only ! the recursive rule for

Ответ:

mallyosburn

10.03.2022

Mathematics

$\bold{a_n=2\bigg(\dfrac{1}{3}\bigg)^{n-1}}$

Step-by-step explanation:

$\text{The general form of the recursive rule is:}\ a_n=r\cdot a_{n-1}\\ \text{where r is the common ratio.}\ \text{The recursive rule provided is:}\\ a_n=\dfrac{1}{3}a_{n-1}\ \text{so, r} = \dfrac{1}{3}}\\\\\text{The general form of the explicit rule is:}\ a_n=a_1(r)^{n-1}\\\text{where}\ a_1\ \text{is the first term and r is the common ratio}.\\\\\text{So, the explicit rule with the information provided is:}\\a_n=2\bigg(\dfrac{1}{3}\bigg)^{n-1}$

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Correct answer only ! the recursive rule for a geometric sequence is given.

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