Question

If a,b,c are in an AP then prove b+c-a ,c+a-b ,and a+b-c will be in AP

Answer 1

Answer:

$a \: b \: c \: are \: in \: ap \: hence \\ a = a \\ d = b - a \\ n = 3 \\ an = \\ a + (n - 1)d \\ a + (3 - 1)b - a \\ a + 2(b - a)$