1. If a , b , c and d are in AP then c – b is ………………….
A) d – a B) d – b C) d – c D) None of these
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Step-by-step explanation:
a,b,c,d,e are in A.P
∴b=a+D
c=a+2D
d=a+3D
e=a+4D
Here D is the common difference substitute the values of b,c,d and e in the given expression.
a−4b+6c−4d+e
=a−4(a+D)+6(a+2D)−4(a+3D)+a+4D
=a−4a−4D+6a+12D−4a−12D+a+4D
=8a−8a
=0
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