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If X=4n3n1:nN and Y={9(n1):nN} where N is the set of natural numbers, then XY is equal to

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By Expert Faculty of Sri Chaitanya
a
N
b
Y-X
c
X
d
Y

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detailed solution

Correct option is D

We  have,⇒X=4n−3n−1:n∈Nand  X={0,9,54,243,⋯}⇒Y={9(n−1):n∈N}⇒Y={0,9,18,27,⋯}     [put n = 1,2,3, ... ] [put n=1,2,3,⋯]it is clear that X⊂Y∴ X∪Y=Y


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