Question

If x ,2y,3z are in A.P where the distinct numbers x, y, z are in G.P the common difference of the GP is​

Answer 1

Answer:

1/3

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