Sequences and S...

The common difference of an A.P whose first term is unity and whose second, tenth and thirty fourth terms are in G.P ., is

Let the positive numbers a,b,c,d be in A.P., then abc, abd, acd, bcd are

If A is the A.M of the roots of the equation x² – 2ax + b = 0 and G is the G.M of the roots of the equation x² – 2bx + a² = 0, then

If A and G are arithmetic and geometric and means and x² – 2Ax + G² = 0 , then

If In (a + c), In (c – a), In (a – 2b + c) are in A.P., then

If the altitudes of a triangle are in A.P., then the sides of the triangle are in

If a,b,c are in G.P then log_a x, log_b x, log_e x are in

If a,b,c are three unequal numbers such that a, b, c are in A.P and b – a, c – d, a are in G.P., then a : b : c is

If (y – x), 2(y – a) and (y – z) are in H.P., then x – a, y – a, z – a are in