Question

1). If a,b,c are in A.P , P is G.M between a and b ,Q is G.M between b and c,then P²,b²,Q² are in ___--
(a).A.P  (b) G.P  (c) H.P  (d) None

Answer 1

2 b = a + c     A. P

P²  =  ab       b² = b²       Q²  =  bc

P² + Q² = ab + bc = b (a+c) = 2 b²   =>    P², b², Q² are in AP