Question

[
begin{array}{l}
text { quen } quad, quad b^{2}=a c quad-quad text { (1) }
p=frac{a+b}{2}
q=frac{b+c}{2}
end{array}
]
From
[
a=2 p-b
]
From 0 ( 16=2 g-b )
1
Wing these two in
[
begin{array}{rl}
b^{2} & =(2 p-b(2 q-b)
b^{2} & =4 p q-2 b p-2 b q+b^{2}
2 & x p q=2 b(p+q)
b & =frac{2 p q}{p+q}
end{array}
]

# (D) 144717 131. Let a, b, c be in G.P. Ifp is the A.M. between a and b and q is the A.M. between band c, then bis equal to (4) P+9 p+9 B ptg 0 ptg 0 2pq. p +9 p +9 2 pq

Solution