Mathematics, 02.07.2019 05:00, lolweapon
The first term of an arithmetic sequence is -5, and the tenth term is 13. find the common difference. 1. 8/9 2. 1.8 3. 2
Answers: 1
![\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}\\[-0.5em] \hrulefill\\ a_1=-5\\ n=10\\ a_{10}=13 \end{cases} \\\\\\ a_{10}=a_1+(10-1)d\implies 13=-5+(10-1)d \\\\\\ 13=-5+9d\implies 18=9d\implies \cfrac{18}{9}=d\implies \boxed{2=d}](/tpl/images/0041/3446/8ec2e.png)
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The first term of an arithmetic sequence is -5, and the tenth term is 13. find the common difference...
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