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If X={4^(n)-3n-1:n in N} and {9(n-1):n i...

If `X={4^(n)-3n-1:n in N} and {9(n-1):n in N}`, the prove that `X sub Y`.

A

X

B

Y

C

`phi`

D

`{0}`

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`X={4^(n)-3n-1:n in N}`
`={0,9,54, . . .}`
and `Y={9(n-1):n in N}`
`=(0,9,18,27,36,45,54, . . .}`
`therefore X cap Y=X`
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