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2 years ago

Find the 10th term of the geometric sequence 8, -16, 32, ...

Mathematics

1 answer:

GaryK [48]2 years ago

3 0

Answer:

-4096

Step-by-step explanation:

8,-16,32,-64,128,-256,512,-1024,2048.-4096

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EastWind [94]

Answer:

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Step-by-step explanation:

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3 years ago

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$\cos^3 2A + 3 \cos 2A \\
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$

go to right side now

$4( \cos^6 A - \sin^6 A)\\
\Rightarrow 4( \cos^3 A - \sin^3 A)(\cos^3 A + \sin^3 A)$

use $x^3 - y^3 = (x-y)(x^2 + xy + y^2)$ and $x^3 + y^3 = x^2 - xy + y^2$

$4( \cos^6 A - \sin^6 A)\\ \Rightarrow 4( \cos^3 A - \sin^3 A)(\cos^3 A + \sin^3 A) \\
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so $\sin^2 A + \cos^2 A = 1$

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