If a, b, c are in A.P. then show that, `a((1)/(b)+(1)/(c )), b((1)/(c )+(1)/(a))` and `c((1)/(a)+(1)/(b))` are also in A.P.

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

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

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

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

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

If a. b, c are in A.P, then show that 1/(bc) , 1/(ca) , 1/(ab) are also in A.P.

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

If a, b, c are in A.P. then prove that the following are also in A.P:(iii) (1)/(a)((1)/(b)+(1)/(c )),(1)/(b)((1)/(c )+(1)/(a)),(1)/(c )((1)/(a)+(1)/(b)) are in A.P

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