Q. 4

If a, b, c, l, m are in A.P, then the value of a - 4b + 6c - 4l + m is
A. 1

B. 2

C. 3

D. 0

Answer :

If a, b, c, l, m are in A.P, then


b-a = c-b = l-c = m-l.


a-4b + 6c-4l + m becomes


a-b-b-b-b + c + c + c + c + c + c-l-l-l-l + m


Grouping the terms


We have


a + 4(c-b)-2(l-c)-2l + m


a + 2(c-b)-2(l-c) + 2(c-b)-2l + m


Since c-b = l-c,


a + 2(c-b)-2l + m


a + 2c-2b-2l + m


-(b-a) + (c-b)-(l-c) + (m-l)


= 0


So, the correct option is D.

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