[" If "a,b,c" are in H.P.,then "(a)/(b+c),(b)/(c+a),(c)/(a+b)" are in "],[qquad [" A "," A.P."]],[" B "," G.P."],[" C "," H.P."]

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

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

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

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, b, c are in H.P., prove that, (a)/(b+c-a), (b)/(c+a-b), (c )/(a+b-c) are in H.P.

If a, b, c are in H.P., prove that (a)/(b+c), (b)/(c+a) and (c )/(a+b) are also in H.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, b, c are in A.P., show that, (bc)/(a(b+c)), (ca)/(b(c+a)) and (ab)/(c(a+b)) are in H.P.

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,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