perplexus.info :: Just Math : Complex Number and Positive Integer Poser

Complex Number and Positive Integer Poser (Posted on 2016-08-27)

Each of X and Y is a complex number such that
A(N) = (X^N – Y^N)/(X-Y) is an integer for 4 consecutive positive integer values of N.

Is A(n) an integer for every positive integer value of N?
If so, prove it.
If not, provide a counter example.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Yes! A(n) is an integer for every integer value of n.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution	Brian Smith	2017-07-16 23:16:42

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