The common ratio of the geometric progression 4, 8, 16, 32 is 2.
Understanding Common Ratio
The common ratio in a geometric progression (GP) is the constant factor between consecutive terms. To find the common ratio, you divide any term by its preceding term.
Calculation
- Divide the second term (8) by the first term (4): 8 / 4 = 2
- Divide the third term (16) by the second term (8): 16 / 8 = 2
- Divide the fourth term (32) by the third term (16): 32 / 16 = 2
Since the ratio between consecutive terms is consistently 2, the common ratio is 2. As stated in the reference, "The common ratio of GP 4,8,16,32,..... is. 2".
