godzillavskong92 godzillavskong92
  • 22-01-2022
  • Mathematics
contestada

Write an explicit formula for a_na
n
​
, the n^{\text{th}}n
th
term of the sequence 8, 2, -4, ...8,2,−4,....

Respuesta :

jdoe0001 jdoe0001
  • 22-01-2022

[tex]8~~,~~\stackrel{8-6}{2}~~,~~\stackrel{2-6}{-4}~~,~~....~\hspace{10em}\stackrel{\textit{common difference}}{d=-6} \\\\[-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=\stackrel{\textit{first term}}{8}\\ d=\stackrel{\textit{common difference}}{-6} \end{cases} \\\\\\ a_n=8+(n-1)(-6)\implies a_n=8+(-6n+6)\implies a_n=14-6n[/tex]

Answer Link

Otras preguntas

Why do you think president’s wife is called the First Lady?
In a word application witch of the following would be used to organize data into a vertical list
In the crucible ,act one reverend part is ask what abigail do in the forest , what does abigail admit to?
1. find the equation of the line that is parallel to the line y=-3/2x+4 and passes through point (4,0).2. find the equation of the line that is perpendicular to
A person who weighs 100  pounds on Earth weighs 38 lb. on Mars. Which variable is the independent variable? Explain why.
What was it's a similarity between the Bill of Rights and the Magna Carta
Porque El Cuento Se Titula Garabatos Del Autor Pedro Juan Soto.
Mafalda has a save percentage of 0.7380.7380, point, 738 so far this hockey season. Last season, her save percentage was 0.5850.5850, point, 585. How much has M
will give brainliest and extra pointssss ):
what is the unit rate if there is 1760 calories in 8 servings