Q. 7 C5.0( 2 Votes )

If a, b, c are in A.P., prove that

are in A.P.

Answer :

Given: a, b, c are in AP


Since, a, b, c are in AP, we have a + c = 2b …(i)


To Prove : are in AP





(b – a)(b + a) = (c – b)(c + b)


b – a = c – b


2b = a + c, which is True ... from (i)


Hence, the result.


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