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

A patient receives 150 cc of medication in an IV drip over 4 hours. What is the rate per hour of this dose?
Erin byus a bag of peanuts that weighs three fourths of a pound. Later that week, the bag is two thirds full.how much does the bag of peanuts weigh now? Show yo
Can anyone help me find the simplest form for 15/23 / 6/7
An acrostic poem about the brain
What do you measurement of capacity?
How to convert fractions into decimals?
a box contains 13 red blocks, 8 orange blocks,9 green blocks,and 10 blue blocks . Shelly randomly chooses a block from the box. What is the probability that the
how do u say fat pig in german
When plastic deformation of a material occurs, the material _____.
Why Is Oregon Called the Beaver State?