Word Count : 277

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We are given the data: [ \begin{array}{c|cccc} x & 0 & 1 & 2 & 4 \ \hline y & 1 & 1 & 2 & 5 \end{array} ] We will use Newton’s divided difference formula. Step 1: Construct the divided difference table. [ \begin{array}{c|c|c|c|c} x & f[x_i] & f[x_i,x_{i+1}] & f[x_i,x_{i+1},x_{i+2}] & f[x_i,x_{i+1},x_{i+2},x_{i+3}] \ \hline 0 & 1 & & & \ 1 & 1 & & & ___ _______ _____ ______ ___ _________ ________ ____ _____ ___ _________.
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