Find the common ratio in the GP: log 3, log 9, log 81 ..........
Question 1 Report
Find the common ratio in the GP: log 3, log 9, log 81 ..........
Answer Details
In a geometric progression (GP), the ratio between any two successive terms is constant. Let's find the ratio between the second and first terms of the given GP:
log 9 / log 3 = log (3^2) / log 3 = 2 log 3 / log 3 = 2
Similarly, the ratio between the third and second terms is:
log 81 / log 9 = log (9^2) / log 9 = 2 log 9 / log 9 = 2
Since the ratio between any two successive terms is the same, the common ratio of the given GP is 2.
Therefore, the answer is 2.
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