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Question
If the common ratio of a G.P. is `2/3` and sum of its terms to infinity is 12. Find the first term.
Solution
r = `2/3` sum to infinity = 12 …[Given]
Sum to infinity = `"a"/(1 - "r")`
∴ 12 = `"a"/(1 - 2/3)`
∴ a = `12 xx 1/3`
∴ a = 4.
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