If `a^2, b^2, c^2` are in A.P, show that: `a/(b+c), b/(c+a), c/(a+b)` are in A.P.

If a^(2),b^(2),c^(2) are in A.P.prove 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 2b = a + c.

If a^(2),b^(2),c^(2) 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 AP, show that (i) (b+c) , (c+a) and (a +b) are in AP. (ii) a^(2) (b+c) , b^(2) (c +a) and c^(2) ( a+b) are in AP.

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., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" are also in A.P."

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

If a^(2),b^(2),c^(2) are in A.P.then show that: bc-a^(2),ca-b^(2),ab-c^(2) are in A.P.

If, in a /_\ABC , it is given that a^(2), b^(2), c^(2) are in an A.P., show that tan A, tan B, tan C are in the H.P.