How many perfect square terms are there in the arithmetic sequence 97, 73, 49, .....?

Statement 1 If one root of Ax^(3)+Bx^(2)+Cx+D=0 A!=0 , is the arithmetic mean of the other two roots, then the relation 2B^(3)+k_(1)ABC+k_(2)A^(2)D=0 holds good and then (k_(2)-k_(1)) is a perfect square. Statement -2 If a,b,c are in AP then b is the arithmetic mean of a and c.