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Question
Find the G.P. whose first term is 64 and next term is 32.
Solution
First term, a = 64
Second term, t2 = 32
`\implies` ar = 32
`\implies` 64 × r = 32
`\implies` r = `32/64 = 1/2`
∴ Required G.P. = a, ar, arn – 1, arn – 2, ..........
= `64, 32, 64 xx (1/2)^2, 64 xx (1/2)^3, ..........`
= 64, 32, 16, 8, .........
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