[" 1.If "(1)/(d),(1)/(b),(1)/(c)" are in "" A.P.prove that: "],[" (i) "(b+c)/(a),(c+a)/(b),(a+b)/(c)" are in A.P."quad " (ii) "a(b+c),b(c+a),c(a+b)" are in A.P."]

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

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

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 in A.P.

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

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

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

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

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