The sequence of pizza numbers (Pn)n≥o (the maximal number of pieces formed when slicing a pizza with n cuts) starts 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56. ... Note, in here we think of a pizza as a flat 2-dimensional disc. (a) Draw two pictures to show P3 = 7, and P4 = = 11. (b) Compute the sequence of first differences. (c) Compute the sequence of second differences. (d) Use polynomial fitting to find the closed formula for the sequence Pn.

Q: 10. Find a, for the sequence with generating function 2. (1-2) 1-1-2" - Hint You should "multiply"…

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Q: 10. (6 points) A sequence is given by the recursive definition an = an-1 + 2, ao = 3. a) Find a₁,…

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Q: 11. (6 points) A sequence is given by the recursive definition bn = 4bn-1, bo = 3. a) Find b₁,b₂,…

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Q: 7) Given the sequence 1, 2, 4, 8, 16, 32..., find the 10 term and the sum of the first terms.

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Q: Represent the sequence 2, 8, 14, 20, ... in words a) b) algebraically c) graphically

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A: R is free software that is very useful for statistical analysis.

Q: 4(2¹ – 9) - O a) The sequence isbounded Ob) The sequence is unbounded an

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Q: 35 (b) (5+7k) = k=D1

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Q: Q.12) Suppose the summation xi = 81, summation xi2 = 509, n=20, and yi = (xi - 5)2, a.) find…

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Q: The Lazy Caterer's Sequence : A disk (e.g. a pizza) is cut n times, by straight cuts that need not…

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Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

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Q: The generating function of the sequence 4,4,4,4,4 is

A: # To find generating function of sequence  4,4,4,4,4,4 ??

Q: 1 1/4 1/8 1/2 ii 1 -1 A) 1/2 В) 1 C) 1/4 D) 3/2

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Q: inf{a,b, : n e N} > (inf{a, : n € N}) × (inf{b, : n E N}). (1) Does the inequality (1) continue to…

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Q: many black balls are need

A: The correct answer is: 200      N.B: For nth term, we need 2n black balls.

Q: 15. A sequence of two different digits is randomly chosen from the digits 0–4; the digit is larger…

A: Sample space is the collection or set of possible outcomes.

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