If a,b,c are in A.P. and also in G.P., the find a-c.

If a,b,c are in A.P. then :

If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c-a).z(a-b)=1 .

If a,b,c are in A.P. and a^2,b^2,c^2 are in H.P. then which of the following could and true (A) -a/2, b, c are in G.P. (B) a=b=c (C) a^3,b^3,c^3 are in G.P. (D) none of these

If a, b, c are in A.P, b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a, c, e are in G.P.

If the (m+1)t h ,(n+1)t h ,a n d(r+1)t h terms of an A.P., are in G.P. and m ,n ,r are in H.P., then find the value of the ratio of the common difference to the first term of the A.P.

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

If a,b,c are in AP and p is the AM between a and b and q is the AM between b and c, then show that b is the AM between p and q.

If a, b, c are in A.P. then 3^a, 3^b, 3^c are in:

If the sides a, b, c of a triangle are in A.P., then find the value of tan frac (A)(2)+ tan frac (C)(2) in terms of cot frac (B)(2) .

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.