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question let us generalize problem suppose we wish to create a geometric structure from k points in the plane and that
question as in problem we are going to create a geometric structure from a finite number of points in the plane suppose
question we are going to construct a geometric structure from a set of lines using a finite number of points in the
question we will triangulate as in problem a convex polygon that has a convex polygonal hole cut out of its interiora
question a triangulation of a convex polygon is a partition of that polygon into triangles that does not introduce any
question 1 considering the previous two exercisesa draw the first four square numbersb draw the first four triangular
question 1 the first few pentagonal numbers are shown in figure create a sequence find a recurrence and find a closed
question 1 suppose that a binary decision tree for set membership is labeled consistently ie left indicates an element
question 1 start conjecturing about yams if you havent already do you see a possible recurrence relation how about a
question 1 suppose you have a yam with n-1 cuts carefully slice the yam in two and look at the freshly cut faces what
question 1 how many chunks of yam can you obtain when using exactly two cuts2 what is the largest number of yam chunks
question try to prove any conjectures available to you notice that because the only information you started with was a
question 1 fill in as much of this table as you cannumber of cuts on a pizzanbspnbspnbsp nbsp nbsp nbsp nbsp nbsp nbsp
question 1 what is the largest number of pieces of pizza you can obtain using exactly three cuts try drawing a few
question 1 find a closed form and a recurrence relation for the sequence 0 2 8 24 64 160 384 896 2048 4608 10240 2 find
question suppose that you are given the roots to a characteristic equation and they are -1 2 and -3a what is the
question 1 find a recurrence that defines the sequence 2 3 5 9 17 33 65 now find a different sequence that satisfies
question 1 find a recurrence that defines the sequence 1 1 1 3 5 9 17 31 now find a different sequence that satisfies
question imagine a number line with the integers marked your old pal grover starts at 0 and once per second takes a
question write out several rows of pascals triangle circle the first 1 of any row go over one entry to the right and
question choose one of the sequences you generated above and input the first five terms into the online encyclopedia of
question for each of the following recurrence relations write out the first several terms of the sequence at least five
question 1 write out the first several terms of the integer sequence defined by a1 1 a2 2an an-1 2an-2a how do
question 1 determine the characteristic equation for an 2an-1 what are its roots using this information and the
question for each of the recurrence relations given here find a closed-form formula you may wish to first identify the