Question

Find the 10th term of the geometric sequence 1, 3, 9, .

Answer 1

19683

Explanation:

As the formula of the geometric sequence:

`a_(n) =a_(1) *r^(n-1)`

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

`a_(10) =1 *3^(10-1) = 3^(9) =19683`

Hope this helps!