Question

if a,b,c are in G.P., then show that b²=ac​

Answer 1

Answer:

Step-by-step explanation:

Given: a,b,c are in GP

To prove: b²=ac

Proof: let common ratio of the GP be 'r'

         a=a, b=ar, c=ar²

         

         b²=(ar)²=a²r²=(a)(ar²)=ac

        b²=ac

Hence proved.