If `a,b,c` are in `A.P` then `(a)/(a+b+c),(b)/(a+b+c),(c)/(a+b+c)`

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.the (a)/(bc),(1)/(c),(2)/(b) will be in a. A.P b.G.P.c.H.P.d.none of these

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,b,c are in A.P. prove that (a-c)^(2)=4(a-b)(b-c)

If a,b,c,d,e are in H.P., then a/(b+c+d+e), b/(a+c+d+e),c/(a+b+d+e), d/(a+b+c+e), e/(a+b+c+d) are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If a,b,c are in AP, show that (a(b+c))/(bc) , (b (c+a))/(ca), (c(a+b))/(ab) , are also in AP.

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

If a^(2),b^(2) and c^(2) are in AP then prove that (a)/(b+c),(b)/(c+a) and (c)/(a+b) are also in A.P.