What is the 11th term of the geometric sequence

3, 6, 12, 24,

1 answer

The common ratio of this geometric sequence is found by dividing any term by its preceding term.

The common ratio is 6/3 = 2.

To find the 11th term, we can use the formula for the nth term of a geometric sequence:

nth term = a * r^(n-1)

where a is the first term, r is the common ratio, and n is the desired position.

In this case, the first term is 3, the common ratio is 2, and the desired position is 11.

11th term = 3 * 2^(11-1) = 3 * 2^10 = 3 * 1024 = 3072.

Therefore, the 11th term of the sequence is 3072.