Final answer:
Among the given sequences, only 11, 55, 275, 1375, ... is a geometric sequence, as each term is five times the previous term.
Step-by-step explanation:
To identify the geometric sequence from the given options, we need to determine which sequence follows the pattern of each term being the previous one multiplied by a constant ratio. A geometric sequence has the form:
a, ar, ar^2, ar^3, ...
Where a is the first term and r is the common ratio between the terms.
- Checking the first sequence, 11, 55, 275, 1375, ..., we can see that each term is 5 times the previous term (55 = 11 × 5, 275 = 55 × 5, and so on), making it a geometric sequence with a common ratio of 5.
The other sequences do not follow a pattern where each term is obtained by multiplying the previous term by a constant ratio, therefore, they are not geometric sequences.
The correct answer is the sequence: 11, 55, 275, 1375, ...