toshamartinez4 toshamartinez4
  • 22-03-2018
  • Mathematics
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what is the 18th termin an arithmetic sequence with the first term equal to 6 and the constant difference equal to 17

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jdoe0001 jdoe0001
  • 22-03-2018
[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ n=18\\ a_1=6\\ d=17 \end{cases} \\\\\\ a_{18}=6+(18-1)(17)\implies a_{18}=6+(17)(17) \\\\\\ a_{18}=6+289 \implies a_{18}=295[/tex]
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