Mathematics
callei
19

HELP!? What is the general-term equation, an, for the arithmetic sequence below, and what is the 23rd term of this sequence? n 1 2 3 an 2 −3 −8 Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference

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(1) Answers
mcguirem141

[latex]a_{1}=2[/latex] [latex]d=a_{2}-a_{1}=-3-2=-5[/latex] So, general-term equation arithmetic sequence: [latex]a_{n}=2+(-5)*(n-1)[/latex] [latex]a_{n}=2-5n+5[/latex] [latex]a_{n}=7-5n[/latex]

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