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Polynomial of degree 3n (Posted on 2016-05-07) Difficulty: 3 of 5
A polynomial P(x) of degree 3n has the value 2 at x= 0, 3, 6,..., 3n, and:
the value 1 at x= 1, 4, 7, ... , 3n-2, and:
the value 0 at x= 2, 5, 8, ... , 3n-1.

Given that P(3n+1) = 730, find n.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
An unreasoned guess | Comment 4 of 6 |
n=6

The P(n) series of values goes 2, 1, 0, 2, 1, 0, ... until the 19th term and when every body exbects the value 1 it adds 3^6 for a total of 730. 

  Posted by armando on 2016-05-08 11:53:26
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