Question

Write the rule for the nth term of geometric sequence a1=6 and r=3

Answer 1

Explanation:

Hey there!

Given;

a1 = 6

and r = 3

Then;

Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.

`nth \: term \: of \: geometric \: sries = {a}^{} . {r}^(n - 1)`

Now, keep all values.

`nth = 6 * {3}^(n - 1)`

So, it becomes like this.

Therefore, the rule is nth= 6*3^n-1.

Hope it helps!