Final answer:
The 11th term of the given geometric sequence is 8,192.
Step-by-step explanation:
A geometric sequence is a sequence in which each term is found by multiplying the previous term by a constant called the common ratio. In this sequence, the common ratio is 4, since each term is obtained by multiplying the previous term by 4.
To find the 11th term, we can use the formula:
an = a1 * r⁽ⁿ⁻¹⁾
where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.
Plugging in the values:
a11 = 2 * 4⁽¹¹⁻¹⁾
Simplifying this expression gives us a11 = 8,192. Therefore, the 11th term of the geometric sequence is 8,192.