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question a can you use the principle of mathematical induction to find a formula for the sum of the first n terms of a
question a which amounts of postage can be formed using only 5-cent and 9-cent stampsb prove the conjecture you made
question a state the well-ordering property for the set of positive integersb use this property to show that every
question a give a recursive definition of the length of a stringb use the recursive definition from part a and
question a what is a recursive algorithmb describe a recursive algorithm for computing the sum of n numbers in a
question a describe the merge sort algorithmb use the merge sort algorithm to put the list 4 10 1 5 3 8 7 2 6 9 in
question prove that the merge sort algorithm is correct the quick sort is an efficient algorithm to sort a1 a2an this
question devise an iterative algorithm to find the nth term of the sequence defined in exerciseexercise devise a
question give a recursive definition ofa the set of even integersb the set of positive integers congruent to 2 modulo
question find the flaw with the following proof that every postage of three cents or more can be formed using just
question the well-ordering property can be used to show that there is a unique greatest common divisor of two positive
question can you use the well-ordering property to prove the statement every positive integer can be described using no
question let en be the statement that in a triangulation of a simple polygon with n sides at least one of the triangles
question let p n be the statement that when nonintersecting diagonals are drawn inside a convex polygon with n sides at
question picks theorem says that the area of a simple polygon p in the plane with vertices that are all lattice points
question suppose you begin with a pile of n stones and split this pile into n piles of one stone each by successively
question consider this variation of the game of nim the game begins with n matches two players take turns removing
question assume that a chocolate bar consists of n squares arranged in a rectangular pattern the entire bar a smaller
question suppose there are n people in a group each aware of a scandal no one else in the group knows about these
question a knight on a chessboard can move one space horizontally in either direction and two spaces vertically in
question use mathematical induction to show that n people can divide a cake where each person gets one or more separate
question describe the luhn algorithm for finding the check digit of a credit card number and discuss the types of
question describe how public key cryptography is being applied are the ways it is applied secure given the status of
question describe how public key cryptography can be used to produce signed secret messages so that the recipient is
question describe the rabin public key cryptosystem explaining how to encrypt and how to decrypt messages and why it is