How do you write an nth term rule for $r = \frac{1}{3}$ $r=1/3$ and $a_{1} = 45$ $a_1=45$ ?

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How do you write an nth term rule for $r = \frac{1}{3}$ $r=1/3$ and $a_{1} = 45$ $a_1=45$ ?

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Answer 1 · 2016-09-14T13:07:11

$a_{n} = 45 {(\frac{1}{3})}^{n - 1}$ $a_n=45(1/3)^(n-1)$

Explanation:

The rule for finding the nth term in a geometric sequence is.

$color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(a_n=a r^(n-1))color(white)(a/a)|)))$
where a represents the 1st term.

here a = 45 and r $=1/3$

$rArra_n=45xx(1/3)^(n-1)=45(1/3)^(n-1)$

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How do you write an nth term rule for $r = \frac{1}{3}$ $r=1/3$ and $a_{1} = 45$ $a_1=45$ ?

1 Answer

Explanation:

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How do you write an nth term rule for $r = \frac{1}{3}$ $r=1/3$ and $a_{1} = 45$ $a_1=45$ ?