Angelkidabrystephi Angelkidabrystephi
  • 17-01-2017
  • Mathematics
contestada

Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?

5, 1, -3, -7, -11, ...

A. -4n + 9
B. 4n + 1
C. 4n + 9
D. 5n + 4
E. -4n + 1

Respuesta :

banhbaozi
banhbaozi banhbaozi
  • 17-01-2017
First, we start off with the nth term formula for an arithmetic sequence, which is 
[tex]a_{n} =a_{1}+(n-1)d[/tex]

plug in the sequence numbers where they belong

[tex]a_{n}=5+(n-1)*(-4) [/tex]
[tex]a_{n}=5+(-4n+4)[/tex]
[tex]a_{n}=5-4n+4[/tex]
[tex]a_{n}=-4n+9[/tex]

And this is the final answer
[tex]-4n+9[/tex]
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