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If the common ratio of a G.P. is 23 and sum to infinity is 12. Find the first term - Mathematics and Statistics

Sum

If the common ratio of a G.P. is `2/3` and sum to infinity is 12. Find the first term

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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

  Is there an error in this question or solution?
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