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Numerade Educator

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Problem 6 Easy Difficulty

List the first five terms of the sequence.
$$ a_n = \cos {n \pi}{2} $$

Answer

$1, 1, 1, 1, 1$

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Video Transcript

for any pulls. One. We have coastline of two pi, which is one for any calls to you have co sign of two times two pie no co signed for pie. But co sign has a period of two pi, which means that we can add or subtract any multiple of two pi from co sign and get the same thing. So this is the same thing as co sign of two pi. That's just one can is gonna be the same thing for any equals three and equals foreign and equals five first five terms in our sequence should be one on one, one on one. Okay, we should be able to see that we're going to get the same thing, because regardless of what value of n we have plugged in here as long as it's the whole number, it's just going to give us some multiple of two pi and again, since coastline as period to pie, we can just add or subtract any multiple of two pi and it'LL just give us the exact same answer