Which of the following sequences is a geometric progression?
Practice Questions
Q1
Which of the following sequences is a geometric progression?
1, 2, 4, 8
1, 3, 6, 10
2, 4, 8, 16
1, 1, 1, 1
Questions & Step-by-Step Solutions
Which of the following sequences is a geometric progression?
Step 1: Understand what a geometric progression is. A geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous term by a constant number called the common ratio.
Step 2: Look at the given sequence: 2, 4, 8, 16.
Step 3: Find the ratio between the first two terms: 4 divided by 2 equals 2.
Step 4: Find the ratio between the second and third terms: 8 divided by 4 equals 2.
Step 5: Find the ratio between the third and fourth terms: 16 divided by 8 equals 2.
Step 6: Since the ratio is the same (2) for all pairs of consecutive terms, the sequence is a geometric progression.
