Mathematics, 25.06.2019 12:10 caitlinhardin9131
The first 5 terms of a number pattern are shown below. 4, 9, 14, 19, 24 which expression is equivalent to the value of the nth term in the pattern?
Answers: 2
![\bf 4~~,~~\stackrel{4+5}{9}~~,~~\stackrel{9+5}{14}~~,~~\stackrel{14+5}{19}~~,~~\stackrel{19+5}{24}\qquad \impliedby \stackrel{\textit{common difference}}{d=5} \\\\[-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}\\ \cline{1-1} a_1=4\\ d=5 \end{cases} \\\\\\ a_n=4+(n-1)5\implies a_n=4+5n-5\implies a_n=5n-1](/tpl/images/0015/6007/08805.png)
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The first 5 terms of a number pattern are shown below. 4, 9, 14, 19, 24 which expression is equivale...
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