Sequence And Series Question 123

Question: If the numbers $ a,\ b,\ c,\ d,\ e $ form an A.P., then the value of $ a-4b+6c-4d+e $ is

Options:

A) 1

B) 2

C) 0

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Let $ D $ be the common difference of the A.P. Then, $ a-4b+6c-4d+e= $ $ a-4(a+D)+6(a+2D)-4(a+3D)+(a+4D)=0 $ .