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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The recursive rule for a geometric sequence is given.

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! The recursive rule for a geometric-example-1
User YoshiMbele
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Answer:
\bold{a_n=2\bigg((1)/(3)\bigg)^(n-1)}

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=(1)/(3)a_(n-1)\ \text{so, r} = (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((1)/(3)\bigg)^(n-1)

User SoluableNonagon
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