Question

If a-b =b-c then prove that a=b=c.​

Answer 1

Answer:

As (a−b),(b−c),(c−a) are in GP

(a−b)

(b−c)

=

(b−c)

(c−a)

⇒(b−c)

2

=(a−b)(c−a)

⇒b

2

+c

2

−2bc=ac−a

2

−bc+ab

⇒a

2

+b

2

+c

2

=ab+bc+ac

⇒(a+b+c)

2

=3(ab+bc+ac) [adding 2(ab+bc+ac) on both sides].

Step-by-step explanation:

#hope it helps you ✌️

#carry on your study.