If the numbers a, ;b, ;c, ;d, ;e form an A.P., then the value of … - Vidyadip

MCQ

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

A
$1$
B
$2$
✓
$0$
D
None of these

✓

Answer

Correct option: C.

$0$

c
(c) Let $D$ be the common difference of the $A.P.$

Then, $a - 4b + 6c - 4d + e $

$=a - 4(a + D) + 6(a + 2D) - 4(a + 3D) + (a + 4D) = 0$.

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