Question

Three terms x, y and z are in A.P.. So they are related by the equation:
1) 2x - y = z
2) 2y - z = x
3) 2z - x = y
4) 2 (x + z) = y

​

Answer 1

Answer:

Step-by-step explanation:

Given 4y=x+3z _____(1)

and y

2

=xz

Let common ratio be r.

∴

x

y

​

=r and

x

z

​

=r

2

Dividing (1) by x, 4

x

y

​

=1+3

x

z

​

⇒4r=1+3r

2

⇒3r

2

−4r+1=0

⇒(3r−1)(r−1)=0

⇒r=

3

1

​

,1

But r



=1(∵x,y,z are distinct)

∴r=

3

1

​