A.P

if a,b and c are in A.P then prove that,
(b + c), (c + a) and (a + b) are also in A.P

4 Answers

1
rishabh ·

a+ c = 2b .........(1)

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

36
rahul ·

this is not what i wanted!!!!!

suppose u r given a,b and c are in A.P Now derive that,

(b + c), (c + a) and (a + b) are in A.P as well.... how will u solve it then?

21
Shubhodip ·

yup..do it like this

a,b,c in AP

a-(a+b+c) , b-(a+b+c), c-(a+b+c) in AP

-(b+c), -(a+c), -(a+b) in AP

b+c, c+a,a+b in AP

actually here we use properties that we think useless like adding/subtracting/multiplying/dividing same number with all terms of an AP gives an AP

36
rahul ·

oww thanks a lot..!!

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