X,Y are polynomials of n, and n is an element of N, then

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SUMMARY

The discussion centers on the polynomials X and Y defined as X={4^n - 3n - 1 | n ∈ N} and Y={9(n - 1) | n ∈ N}. Participants are tasked with determining the union of these sets, X ∪ Y, and clarifying the interpretation of the expression "4^n - 3n - 1/n." The ambiguity in the expression leads to multiple interpretations, which participants are encouraged to resolve by listing members of both sets and visualizing the equations. The focus is on precise mathematical definitions and clarity in notation.

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nirajnishad
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Homework Statement



X={4^n-3n-1/ n belongs to N}
Y={9(n-1)/ n belongs to N }

Homework Equations


then,
XUY is equals to X or Y or N or None of these
 
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First, list some of the members of X and Y.

But does "4^n-3n-1/ n" mean
4^(n- 3n- 1/n)

or 4^(n- 3n- 1)/n

or ((4^n)- 3n- 1)/n

or 4^n- 3n- (1/n)?

Please be precise.
 
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Exactly. List the members of X and Y. Also, try and visualize the equations mentally as what they are describing in words. Apne aap kuchh samajh main aa jayega!

Phir, come back and post here
 

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