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 (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. 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. prove that the following are also in A.P. b+c, c+a, a+b

If a^2,b^2,c^2 are in A.P., then prove that the following are also in A.P. Prove 1/(b+c),1/(c+a),1/(a+b)

If a,b,c are in A.P. prove that the following are also in A.P. (a(b+c))/(bc) , (b(c+a))/(ca) , (c(a+b))/(ab)

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

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

If a, b, c are in A.P., prove that : b+c,c+a,a+ b are also in A.P.