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,d are in H.P.then prove that a+d>b+c

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. then the value of (b+a)/(b-a)+(b+c)/(b-c)

If a,b,c are in H.P.show that (a-b)/(b-c)=(a)/(c)

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

If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in H.P. then prove that either a^(2),b^(2),c^(2) are in H.P.a=b=c or a,b,-(c)/(2) form a G.P.

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