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if a,b,c are in A.P ,Then prove that b+c-a,c+a-b,a+b-c are also in A.P

if a,b,c are in A.P ,Then prove that b+c-a,c+a-b,a+b-c are also in A.P

Grade:11

1 Answers

Vaishal Shah
50 Points
9 years ago

2b=a+c

Now,

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

2c+2a-2b=2b

2c+2a=4b

c+a=2b

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