Question

if a,b,c are in AP, shoe that b+c,c+a,a+b, are also in AP.​

Answer 1

If a,b,c are in AP

a+c=2b

we need to prove a+b,c+a,b+c are in AP

∴ 2 (a+c) = b + c + a + b

2c + 2a = 2b + c + a

a+c = 2b

∴ proved.

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