To find the next term in a geometric sequence, we need to know the first term and the common ratio of the sequence. The common ratio is the constant factor by which each term is multiplied to get the next term. Once we know the common ratio, we can use the formula for the n-th term of a geometric sequence to find the next term. The formula is:

$$a_n = a_1 \cdot r^{n-1}$$

where $a_n$ is the n-th term, $a_1$ is the first term, $r$ is the common ratio, and $n$ is the position of the term in the sequence.

For example, if we have the geometric sequence 2, 4, 8, 16, ... and we want to find the next term, we can see that the common ratio is 2, since each term is twice the previous term. Using the formula, we can find the 5th term:

$$a_5 = 2 \cdot 2^{5-1} = 2 \cdot 2^4 = 2 \cdot 16 = 32$$

Therefore, the next term in the sequence is 32.

If we are given only a few terms of the sequence, we can still find the common ratio by dividing any term by the previous term. Once we know the common ratio, we can use the formula to find any term in the sequence.

Note that there can be different ways to continue a sequence, and the next term we find may not be the only possible answer.