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Good job Math Cadet, but pick up the pace! What if someone else finds that treasure first?
We’re going to make a few moves before our next check-in, so be careful and don’t make any mistakes. The Cartesian plane is full of danger, from wild hyperbolas to fractal quicksand lurking. Only the correct path is safe.
All of the movements continue from each other. Right now you are on the coordinate (0,-4), so the next move should be from that point. Good luck!
The Golden Ratio is also known by a Greek letter. Move from your current position in the negative x direction the same number of spaces as there are letters in the English representation of this letter. (For example, the Greek letter π, is written “pi” in English, it has 2 letters, so we would move 2 spaces)
The Exact value of the Golden Ratio is \( \frac{{1+\sqrt{B}}}{2}\). Move from your current location B units in the positive y direction.
Alright Math Cadets, last one for this section before we need you to report your position.
We found that the ratio of the terms in Fibonacci’s sequence approaches the decimal value of the Golden Ratio (about 1.62). Find the 12th number in Fibonacci’s Sequence, then move from your current position in the positive x direction the square root of that number.
Now, report your (x,y) position below.
My current position is at the coordinate ( , ).