If $a, b, c$ are in A.P. then $b + c, c + a, a + b$ are in

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None of these

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Solution

The correct option is A AP
$a, b, c$ are in AP,
$b - a = c - b$ ......(1)

for $b + c, c + a, a + b$
$c + a - b - c = a - b$ ........(2)
$a + b - c - a = b - c$ .....(3)

from (1) $e q (2) = e q (3)$
given series is AP.

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