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If, in a G.P., the (p + q)th term is a and the (p – q)th term is b, then pth term is
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a
(ab)1/3
b
(ab)1/2
c
(ab)1/4
d
None of these
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Correct option is B
Let the G.P be x,xy,xy2,…then tp+q=xyp+q−1=a (1)and tp−q=xyp−q−1=b (2)Dividing Eqs (1) by (2),y2q=ab∴ y=ab12qFrom Eq. (1),x=abap+q−12q∴ tp=xyp−1=a⋅bap+q−12qabp−12q=1−p+q−12q+p−12q×bp+q−12q−p−12q=a12b12=abSimilar Questions
If the roots of the equation,
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