Find a formula for the nth term of the sequence.
-$0 , - 1,0,1,0 , - 1,0,1 ( 0 , - 1,0,1$ repeated)
A) $a _ { n } = \cos \left( \frac { \mathrm { n } \pi } { 2 } \right)$
B) $a _ { n } = \sin ( n \pi )$
C) $a _ { n } = \sin \left( \frac { \mathrm { n } \pi } { 2 } \right)$
D) $a _ { n } = \cos ( n \pi )$

Question

Quizplus · Accepted Answer

The sequence $0, -1, 0, 1$ repeats, and the cosine function $\cos\left(\frac{n\pi}{2}\right)$ generates this pattern for integer values of $n$, starting with $n=1$.

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Find a Formula for the Nth Term of the Sequence $0 , - 1,0,1,0 , - 1,0,1 ( 0 , - 1,0,1$