Guest Posted December 31, 2009 Report Share Posted December 31, 2009 Determine the value of: √(6+ 2*√(7 + 3*√(8 + 4*√(9 + 5*√(10 + ....))))) Quote Link to comment Share on other sites More sharing options...
0 Guest Posted December 31, 2009 Report Share Posted December 31, 2009 Determine the value of: √(6+ 2*√(7 + 3*√(8 + 4*√(9 + 5*√(10 + ....))))) 4 if the question is but in the form sqrt(a+(a-4)*sqrt((a+1)+(a-3)*sqrt((a+2)+(a-2)...))) then the answer is equal to the value of a-2. Quote Link to comment Share on other sites More sharing options...
0 unreality Posted January 1, 2010 Report Share Posted January 1, 2010 4 if the question is but in the form sqrt(a+(a-4)*sqrt((a+1)+(a-3)*sqrt((a+2)+(a-2)...))) then the answer is equal to the value of a-2. that is a very interesting property... is this a known law or is there a proof somewhere of it? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 1, 2010 Report Share Posted January 1, 2010 that is a very interesting property... is this a known law or is there a proof somewhere of it? I'm not sure. I noticed that pattern, but haven't had a chance to try to prove it... Quote Link to comment Share on other sites More sharing options...
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Determine the value of:
√(6+ 2*√(7 + 3*√(8 + 4*√(9 + 5*√(10 + ....)))))
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