If `a ,b ,c` are in A.P., then prove that the following are also in A.P. `a(1/b+1/c),b(1/c+1/a),c(1/a+1/b)`

If a ,b ,c are in A.P., then prove that the following are also in A.P. a^2(b+c),b^2(c+a),c^2(a+b)

If a,b,c are in A.P., then prove that the following are also in A.P (i) a^(2)(b+c),b^(2)(c+a),c^(2)(a+b) ltbr gt(ii) 1/(sqrtb+sqrtc),1/(sqrtc+sqrta),1/(sqrta+sqrtb) (iii) a(1/b+1/c),b(1/c+1/a),c(1/a+1/b)

If a ,b ,c are in A.P., then prove that the following are also in A.P. 1/(sqrt(b)+sqrt(c)),1/(sqrt(c)+sqrt(a)),1/(sqrt(a)+sqrt(b))

If a^2, b^2,c^2 are in A.P., then prove that tanA ,tanB ,tanC are in H.P.

If a, b, and c are in A.P., then which one of thew following is not true?

If a, b, c are in A.P. then show that 3^(a), 3^(b), 3^(c) are in G.P.

If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ,1/c are also in A.P.

If a ,b ,c ,d ,e are in A.P., the find the value of a-4b+6c-4d+edot

If a ,b ,c in R+ form an A.P., then prove that a+1//(b c),b+1//(a c),c+1//(a b) are also in A.P.

If a, b, c, l,m are in A.P, then the value of a-4b + 6c -4l +m is.