The following four methods are proposed to compute 213. WRITE them in order, based on their apparent speed of convergence, assuming x, = 1. Xn+1 =(20x, +) x-21 3x i) ii) Xn+1 = Xn - iii) x-21xn x-21 iv) Xn+1 = Xn Xn+1 for n = 0,1,2, ..

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A: Solution

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A: see 2nd step

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.