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Question
If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.
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Solution
Let the first term of the G.P. be a and its common ratio be r.
∴ 1st term = a = 2
And 3rd term = 8 `=>` ar2 = 8
Now, `(ar^2)/a = 8/2`
`=>` r2 = 4
`=>` r = 2
When a = 2 and r = 2
2nd term = ar = 2 × 2 = 4
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