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Can someone solve this problem in a sheet of paper step by step because I want to know how to do this. Please

Can someone solve this problem in a sheet of paper step by step because I want to-example-1
User Aleator
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\bf \begin{array}{llr} \stackrel{p_n}{term}&\stackrel{3n-11}{value}\\ \cline{1-3} \\ p_1&3(1)-11\implies &-8\\ p_2&3(2)-11\implies &-5\\ p_3&3(3)-11\implies &-2\\ p_4&3(4)-11\implies &1\\ p_5&3(5)-11\implies &4\\ p_6&3(6)-11\implies &7 \end{array}

User Shirley
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