Question

Find the 10th term of of the geometric sequence
3, 15, 75,​

Answer 1

5859375

Explanation:

The formula for the n-th term of a geometric sequence is
`a_( n) = a_(1) *r^( n-1)`

Therefore just plug 3 for a_1 and r as 5 (how much you are multiplying each time by). And n is the term you want to get to (10).

Therefore it is just a_n = 3 * 5^(10-1) which equals 5859375