Indicate whether the sequence is arithmetic. If so, write an explicit rule for the sequence.

Mathematics

2 answers:

nikklg [1K]3 years ago

4 0

Answer:yes

Step-by-step explanation:

vagabundo [1.1K]3 years ago

3 0

Yes, the sequence is arithmetic as you keep going down 7 from each number. The rule or equation would be f(x)=42-7x.

You would do this so that you can find the specific number you want such as if you want to find what the 7th number in the sequence is you plug 7 in for x which would leave you with 42-7(7) or 42-49=-7

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$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&& y={{ k }}x
\end{array}\\\\
-------------------------------\\\\
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\begin{cases}
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\uparrow \\
constant\ of\\
variation\\
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