If a, b, c are in A.P., then show that (i) `b + c – a, c + a – b, a + b – c` are in A.P.

If a, b, c are in A.P. then show that 2b = a + c.

If a, b, c are in A.P, then show that: \ b c-a^2,\ c a-b^2,\ a b-c^2 are in A.P.

If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a b) are in A.P.

If a, b, c are in A.P, then show that: b+c-a ,\ c+a-b ,\ a+b-c are in A.P.

If a,b,c are in A.P., then show that (i) a^2(b+c), b^2(c+a), c^2(a+b) are also in A.P.

If a, b, c are In A.P., then show that, a^(2)(b+c), b^(2)(c+a), c^(2)(a+b) are in A.P. (ab+bc+ca != 0)

If a, b, c are In A.P., then show that, (a+2b-c) (2b+c-a)(c+a-b) = 4abc

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

If a, b, c are in A.P., show that: (b + c), (c + a) and (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."