1.

If (b + c), (c + a), (a + b) are in A.P. then1). b = a + c2). \(a = \frac{{b + c}}{2}\)3). \(c = \frac{{a + b}}{2}\)4). \(b = \frac{{a + c}}{2}\)

Answer»

The GIVEN EXPRESSION,

(b + c), (c + a), (a + b) are in A.P

Then,

⇒ (c + a) = [(b + c) + (a + b)]/2

2C + 2a = 2B + c + a

⇒ c + a = 2b

∴ b = (a + c)/2


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