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

if ((b +c -a))/a,((c+a -b))/b, (( a+b -c))/c are in AP, prove that 1/a , 1/b,1/c are in AP.

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 in A.P.

If (b+c)/(a),(c+a)/(b),(a+b)/(c) are in A.P. show that (1)/(a),(1)/(b)(1)/(c) are also in A.P.(a+b+c!=0)

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 G.P. then prove that (1)/(a+b),(1)/(2b),(1)/(b+c) are also in A.P.

If a,b,c are in A.P,prove that (1)/(bc),(1)/(ca),(1)/(ab), is also in A.P.

If (b+c-2a)/(a) , (c+a-2b)/(b),(a+b-2c)/(a) are in A.P then show that (1)/(a),(1)/(b),(1)/(c ) are also in A.P