If a,b,c are in AP , then prove that : b+c,c+a,a+b are also in AP

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

If a, b, c are in A.P., then prove that : (i) b+c,c+a,a+b" are also in A.P." (ii) (1)/(bc),(1)/(ca),(1)/(ab)" are also in A.P." (iii) (a(b+c))/(bc),(b(c+a))/(ca),(c(a+b))/(ab)" are also in A.P."

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

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

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. 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. a^2(b+c),b^2(c+a),c^2(a+b)

If (b+c)/a ,(c+a)/b ,(a+b)/c are in A.P., prove that : b c ,\ c a ,\ a b are in A.P.

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.