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Question
For a G.P. a = `4/3 and "t"_7 = 243/1024`, find the value of r.
Solution
Given, a = `4/3 and "t"_7 = 243/1024`
tn = arn–1
∴ t7 = ar6
∴ `243/1024 = "ar"^6`
∴ `243/1024 = 4/3"r"^6`
∴ r6 = `3^6/4^6`
∴ r = `3/4`
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