Final answer:
The common ratio of the sequence x, 2x², 4x³, 8x¹, 16x5,... is 2x.
Step-by-step explanation:
The common ratio of the sequence x, 2x², 4x³, 8x¹, 16x5,... is 2x.
To find the common ratio, we need to determine how each term relates to the previous term. Looking at the sequence, we can see that each term is obtained by multiplying the previous term by 2x. For example, the second term (2x²) is obtained by multiplying the first term (x) by 2x, and so on. Therefore, the common ratio is 2x.