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Powering (Posted on 2013-10-05) Difficulty: 3 of 5
Given that a,b,x and y are real numbers such that

a+b=23
ax+by=79
ax2+by2=217
ax3+by3=691

Determine ax4+by4

No Solution Yet Submitted by Danish Ahmed Khan    
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re: this does it Comment 5 of 5 |
(In reply to this does it by xdog)

That is a great solution.  I figured there had to be a way of building it up recursively.

L(n) = L(n-1) + 6*L(n-2)

With the right hand totals chosen to keep it from being obvious.

  Posted by Jer on 2013-10-08 09:45:05

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