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Question
Determine whether the sum to infinity of the following G.P’.s exist. If exists, find it:
`2, 4/3, 8/9, 16/27`, ...
Solution
`2, 4/3, 8/9, 16/27`, ...
a = 2, r = `(4/3)/2 = 2/3`
Since, | r | = `|2/3| < 1`
∴ Sum to infinity exists.
Sum to infinity = `"a"/(1 - "r") = 2/(1 - 2/3)` = 6.
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