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forsale [732]
2 years ago
13

What is a value of the 13th term of the sequence -7 negative 3 1 5?

Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

\bf -7~~,~~\stackrel{-7+4}{-3}~~,~~\stackrel{-3+4}{1}~~,~~\stackrel{1+4}{5}~~,.....

so, it's really adding 4 to get the next term, namely, 4 is the common difference, and the first term is -7.


\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=-7\\
d=4\\
n=13
\end{cases}
\\\\\\
a_{13}=-7+(13-1)4\implies a_{13}=-7+48\implies a_{13}=41

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