Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

If a,b,c,d,e are in A.P. then the value of a + b + 4c - 4d + e in terms of a, if possible is

(1) 4a

(2) 2a

(3) 3

(4) None of these

Solution:

Given a,b,c,d,e are in A.P.

Let D be the common difference of AP.

b = a+D

c = a+2D

d = a+3D

e = a+4D

a + b + 4c – 4d + e = a + a+D + 4(a+2D) – 4(a+3D) + a+4D

= 3a+D

It cannot be expressed in terms of a.

Hence option (4) is the answer.

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