The common ratio of the geometric progression (GP) 25, 5, 1 is 1/5.
To find the common ratio of a geometric progression, you divide any term by the preceding term. Let's demonstrate:
- First Term (a1): 25
- Second Term (a2): 5
- Third Term (a3): 1
Using the formula, r= a2 / a1 or r=a3 / a2 where r is the common ratio, we calculate:
- r = 5 / 25 = 1/5
- r= 1 / 5 = 1/5
Thus, the common ratio is 1/5.
It is important to note that the reference provided, "The correct Answer is:−15. Step by step video, text & image solution for Find the common ratio of the G.P. 25, -5, 1, (-1)/5. by Maths experts to help you in doubts & scoring excellent marks in Class 10 exams," addresses a different geometric progression, which is 25, -5, 1, (-1)/5. This GP has a common ratio of -1/5. However, the original question specifically asks about the GP 25, 5, 1. Therefore, the correct answer based on the provided question is 1/5.
