Mathematics, 20.11.2019 01:31 destanybrunson
Find the 78th term of the arithmetic sequence 14, 5, -4, ,5,−4
Answers: 1
![\bf 14~~,~~\stackrel{14-9}{5}~~,~~\stackrel{5-9}{-4}~~,~~...~\hspace{10em}\stackrel{\textit{common difference}}{d = -9} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=14\\ d= -9\\ n= 78 \end{cases} \\\\\\ a_{78}=14+(78-1)(-9)\implies a_{78}=14+(77)(-9) \\\\\\ a_{78}=14-693\implies a_{78}=-679](/tpl/images/0382/1923/44bdd.png)
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Find the 78th term of the arithmetic sequence 14, 5, -4, ,5,−4...
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