If the 3rd and 7th terms of a G.P are 9 and 1/9 respectively. Find the common ratio.
Question 1 Report
If the 3rd and 7th terms of a G.P are 9 and 1/9 respectively. Find the common ratio.
Answer Details
Let's suppose that the first term of the GP is 'a' and the common ratio is 'r'.
Then, using the given information, we can create the following equations:
Third term: ar^2 = 9 ---(1)
Seventh term: ar^6 = 1/9 ---(2)
To find 'r', we can divide equation (2) by equation (1) as follows:
(ar^6) / (ar^2) = (1/9) / 9
r^4 = 1/81
r = (1/81)^(1/4)
r = 1/3
Therefore, the common ratio is 1/3.
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