Final answer:
To prove a geometric sequence, you need to show that the ratio between consecutive terms is constant.
Step-by-step explanation:
To prove a geometric sequence, you need to show that the ratio between consecutive terms is constant.
Step 1: Write down the given sequence.
Step 2: Calculate the ratio between each term and its preceding term.
Step 3: If the ratio is constant for all terms, then you have proven that it is a geometric sequence.
Example: Let's consider the sequence 2, 4, 8, 16. The ratio between consecutive terms is 4/2 = 8/4 = 16/8 = 2. Since the ratio is constant (2), we can conclude that the sequence is geometric.