Question

How do you write an nth term rule for `r=1/3` and `a_1=45`?

Answer 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)`