Question

if b+c, c+a, a+b are in ap then a, b, c are in​

Answer 1

$\large \bold \red{ \underline{answer}} \\ \\ \implies{a \: \: b \: \: c \: \: \: are \: \: also \: \: in \: \: \: ap}$

Step-by-step explanation:

$\large \implies \bold \green{given} \\ \\ \implies{b + c \: \: \: \: \: c + a \: \: \: \: a + b \: \: \: \: are \: \: in \: \: \: ap \: } \\ \\ \implies \bold \blue{conditions \: \: of \: \: ap} \\ \\ \implies \boxed{2b = a + c} \\ \\ \implies{2(c + a) = b + c + a + b} \\ \\ \implies{2c + 2a = 2b + c + a} \\ \\ \implies \boxed{c + a = 2b} \\ \\ \implies \green \therefore \green{a \: \: b \: \: c \: \: are \: \: also \: \: in \: \: ap}$