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Angelkidabrystephi Angelkidabrystephi
  • 17-01-2017
  • Mathematics
Answered

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
B4n + 1
C4n + 9
D5n + 4
E-4n + 1

Verified Answer :

banhbaozi
banhbaozi banhbaozi
  • 17-01-2017

First, we start off with the nth term formula for an arithmetic sequence, which isĀ 
\(a_{n} =a_{1}+(n-1)d\)

plug in the sequence numbers where they belong

\(a_{n}=5+(n-1)*(-4)\)
\(a_{n}=5+(-4n+4)\)
\(a_{n}=5-4n+4\)
\(a_{n}=-4n+9\)

And this is the final answer
\(-4n+9\)

Answer Link

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