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Union of Sets

If X= 4 n -...

Question

If $X = {4^{n} - 3 n - 1 : n \in N}$ and
$Y = {9 (n - 1) : n \in N},$ then $X \cup Y$ is equal to

X

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Y

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N

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N o n e o f t h e s e

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Solution

The correct option is A $Y$
Putting $n = 1, 2, 3,$
$X = {0, 9, 54, 243, . . .}$
$Y = {0, 9, 18, 27, 36, 45, 54,}$
Clearly $X \subset Y$ .

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