InterviewSolution
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InterviewSolution
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If `a_(1),a_(2),a_(3), . . .,a_(n)` are in H.P. and `f(k)=sum_(r=1)^(n) (a_(r)-a_(k))`, then `(a_(1))/(f(1)),(a_(2))/(f(2)), . . . ,(a_(n))/(f(n))`, are inA. A.P.B. G.P.C. H.P.D. none of these |
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Answer» Correct Answer - C It is given that `a_(1),a_(2),a_(3), . . . ,a_(n)` are in H.P. `rArr" "(1)/(a_(1)),(1)/(a_(2)),(1)/(a_(3)), . . . ,(1)/(a_(n))` are in A.P. `rArr" "(underset(r=1)overset(n)suma_(r))/(a_(1)),(underset(r=1)overset(n)suma_(r))/(a_(2)),(underset(r=1)overset(n)suma_(r))/(a_(3)), . . . .,(underset(r=1)overset(n)suma_(r))/(a_(n))` are in A.P. `rArr" "(f(1)+a_(1))/(a_(1)),(f(2)+a_(2))/(a_(2)),(f(3)+a_(3))/(a_(3)), . . . .,(f(n)+a_(n))/(a_(n))` are in A.P. `rArr" "(f(1))/(a_(1))+1,(f(2))/(a_(2))+1,(f(3))/(a_(3))+1, . . . ,(f(n))/(a_(n))+1` are in A.P. `rArr" "(f(1))/(a_(1)),(f(2))/(a_(2)),(f(3))/(a_(3)), . . . .,(f(n))/(a_(n))` are in A.P. `rArr" "(a_(1))/(f(1)),(a_(2))/(f(2)),(a_(3))/(f(3)), . . .,(a_(n))/(f(n))` are in H.P. |
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