# 3, 12, 48 are the first three terms of the geometric sequence. What is the number of factors of 4 that is in the 15th term?

##### 2 Answers

#### Explanation:

The first term,

The fifteenth term's factorization will contain 14 fours.

#### Explanation:

The given sequence is geometric, with the common ratio being 4 and the first term being 3.

Note that the first term has 0 factors of four. The second term has one factor of four, as it is

Can you see a pattern here? The **(n-1)** factors of four. Thus the 15th term will have 14 factors of four.

There is also another reason for this. The nth term of a G.P is