[" If "a_(1),a_(2),a_(3),.........,a_(n)" are in H.P.then "],[(a_(1))/(a_(2)+a_(3)+...+a_(n)),(a_(2))/(a_(1)+a_(3)+...+a_(n)),(a_(3))/(a_(1)+a_(2)+a_(4)+...+a_(n))],[qquad [" (a) A.P."],[" (c) H.P."]]

If a_(1),a_(2),...,a_(n) are in H.P.then (a_(1))/(a_(2)+a_(3)+...+a_(n)),(a_(2))/(a_(1)+a_(3)+...+a_(n)),dots,(a_(n))/(a_(1)+a_(2)+...+a_(n-1)) are in a.A.P b.G.P...H.P.d.none of these

If a_(1),a_(2),a_(3),dots,a_(n+1) are in A.P.then (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))...+(1)/(a_(n)a_(n+1)) is

If a_(1), a_(2),….a_(n) are in H.P then (a_(1))/(a_(2) + a_(3) + …+ a_(n)), (a_(2))/(a_(1) + a_(3) + …+ a_(n)), (a_(3))/(a_(1) + a_(2) + a_(4)…+ a_(n)) ….(a_(n))/(a_(1) + a_(2) + a_(3) + ….a_(n-1))

a1,a2,a3.....an are in H.P. (a_(1))/(a_(2)+a_(3)+ . . .+a_(n)),(a_(2))/(a_(1)+a_(3)+ . . . +a_(n)),(a_(3))/(a_(1)+a_(2)+a_(4)+ . . .+a_(n)), . . .,(a_(n))/(a_(1)+a_(2)+ . . . +a_(n-1)) are in

a1,a2,a3.....an are in H.P. (a_(1))/(a_(2)+a_(3)+ . . .+a_(n)),(a_(2))/(a_(1)+a_(3)+ . . . +a_(n)),(a_(3))/(a_(1)+a_(2)+a_(4)+ . . .+a_(n)), . . .,(a_(n))/(a_(1)+a_(2)+ . . . +a_(n-1)) are in

a_(1),a_(2),a_(3),......,a_(n), are in A.P such that a_(1)+a_(3)+a_(5)=-12 and a_(1)a_(2)a_(3)=8 then

If a_(1),a_(2) , a_(3),"……..",a_(n) are in H.P. , then : (a_(1))/( a_(2) + a_(3) +"........."+a_(n)),(a_(2))/(a_(1) + a_(3)+"..........."+a_(n)),"......",(a_(n))/(a_(1)+a_(2)+"........"a_(n-1)) are in :

If a_(1), a_(2), a_(3), …., a_(n) are in H.P., prove that, a_(1)a_(2) + a_(2)a_(3) + a_(3)a_(4) +…+ a_(n-1)a_(n) = (n-1)a_(1)a_(n)

. If a_(1),a_(2),a_(3),...,a_(2n+1) are in AP then (a_(2n+1)+a_(1))+(a_(2n)+a_(2))+...+(a_(n+2)+a_(n)) is equal to