What is the 11th term of the geometric sequence 3,6,12,24, ...?

The 11th term is 3072.

Step-by-step explanation:

First, find the common ratio and the first term. The common ratio is 6/3 or 2. The first term is 3.

Use the direct formula, xi=a*r^i-1, to find the eleventh term. a is first term, and i is the index or the number of the term.

Substitute: x11=3*2^ (11-1)

Or x11=3*2^10

So x11 is 3072