Write a formula for the general term (the nth term) of the geometric sequence 4, 12, 36, 108, 324, . . .

duandaTed05
2022-10-23
Answered

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bibliothecaqz

Answered 2022-10-24
Author has **12** answers

The general term of any geometric sequence $\left({x}_{n}\right)$ is given by

$x}_{n}=a{r}^{n-1$, where a is the first term and r is the common ratio defined as $r=\frac{{x}_{n+1}}{{x}_{n}}$.

So in this case a=4 and $r=\frac{21}{4}=3$

$\therefore {x}_{n}=4\cdot {3}^{n-1}$

$x}_{n}=a{r}^{n-1$, where a is the first term and r is the common ratio defined as $r=\frac{{x}_{n+1}}{{x}_{n}}$.

So in this case a=4 and $r=\frac{21}{4}=3$

$\therefore {x}_{n}=4\cdot {3}^{n-1}$

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