Question

If a,b,C are in Ap,prove that ab+BC=2b2

Answer 1

Step-by-step explanation:

If a b c are in A. P

Let a=a b=a+d c=a+2d

b-a=c-b

2b=a+c

Multiply both sides by b

b(2b)=b(a+c)

2b²=ab+bc

Hence proved