Question

if a,b,c are in G.p then find (a-b)/(b-c)​

Answer 1

Answer:

a/b

Explanation:

Given, a,b,c are in G.P.

Thus, their common ratio must be equal.

Let the common ratio be r.

Thus, r=ab=bc ....(1)

⇒b2=ac⇒a=cb2

Then value of b−ca−b=b−ccb2−b

=c(b−c)b2−bc

=c(b−c)b(b−c)

=cb=ba ....From (1)