Let Fn be the nth number in the Fibonacci Sequence. Consider the 3 points (F30,F31),(F32,F33),(F34,F35) in the Cartesian plane. You are allowed to repeatedly apply the following operation:
Let P be any one of the three points in the plane and let Q,R be the other points. Draw the perpendicular bisector of QR and let S be the closest point on this line to P. Move P to any point T in the plane such that S is also the closest point on the perpendicular bisector of QR to T.
After some sequence of operations, two of the points end up at (0,0) and (100,0). If the third point is in the first quadrant, the largest possible value of its y-coordinate can be expressed as ab where a and b are coprime positive integers. What is the value of a+b?
4 answers
304
297 is true
wrong again
...............it's 101
...............it's 101
1,710,448
1 answer