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3 years ago

6

Which series are neither arithmetic nor geometric? Choose all that apply.

1 answer:

AfilCa [17]3 years ago

3 0

The middle two. An arithmetic series is when something is added over and over again. Geometric is the same except multiplication. For the first one, it only adds 3. For thr last one, it multiplies by -3. For the middle two, I can't seem to find a pattern.

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$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}$

$=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}$

$=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}$

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