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Sequence Addition (Posted on 2011-08-03) Difficulty: 3 of 5
A, B and C are polynomial increasing sequences of positive integers.

1. A(k) + B(k) = C(k)
2. A(8) is a square
3. C(8)= 128.
Both A and B series have only one prime number as a member.
Each member of C is evenly divisible by at least one square (other than 1) number.

How are the sequences A, B and C defined?
What's so special about them?

No Solution Yet Submitted by brianjn    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips hint: partial spoiler Comment 1 of 1

 

This puzzle deserves to be solved!!

Hint:  Assume  C(k)=D*K^2 and try to continue by letting D to assume different values, divisors of 128 , of course.

Good luck. 


  Posted by Ady TZIDON on 2011-08-06 04:40:03
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