# 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

#### 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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