Question

if x, y, z, are in ap and x,y,z+1 are in G. P. then​

Answer 1

Answer:

Step-by-step explanation:

x, y, z, are in ap

So 2y=x+z

y=(x+z)/2-------------(1)

x,y,z+1 are in G. P

So y²=x(z+1)

[(x+z)/2]²=zx+x

(x+z)²=4(zx+x)

x²+z²+2zx=4zx+4x

x²+z²+2zx-4xz=4x

x²+z²+2xz=4x

(x-z)²=4x

x-z=2√x

z=x-2√x