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(a) The generating function G(z) for a sequence gn is given by
G(z) = 1 - 2z/(1 + 3z)3
Give an explicit formula for gn.
(b) For the sequence gn in the previous part consider the sequence hn defined by hn = 2ng0 + 2n-1g1 + · · ·+gn for all n > 0. Give a closed formula for the generating function H(z) of the sequence hn.
(c) Hence find an explicit formula for hn.
In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in the ratio 2: 1. Prove that 9AQ 2 = 9AC 2 +4BC 2
Suppose S = {vi} and T = {ti} are "easy" sets of knapsak weight. Also, P and q are primes p > ?Si and q > ?ti. We can combine S and T into a signle set of knapsack weight as follow
Give an example of Divisibility? If you can divide one number by another without getting a remainder, we say that the first number is divisible by the second. For instance, the
i need homework help
whats 100 + 90 - 6
The sum of the diameters of two circles is 2.8 m and their difference of circumferences is 0.88m. Find the radii of the two circles (Ans: 77, 63) Ans: d 1 + d 2 = 2.8 m=
how it solved
what is 90005+890+098876-89
steps to draw direction or slope fields
bunty and bubly go for jogging every morning. bunty goes around a square park of side 80m and bubly goes around a rectangular park with length 90m and breadth 60m.if they both take
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