2 years ago

Find the sixth term of this geometric sequence 3584,896,224

Mathematics

1 answer:

Alex2 years ago

7 0

Answer:

3.5

Step-by-step explanation:

these are being decided by 4 everytime, so you can just continue the sequence. 3584,896,224,56,14,3.5

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<h3>Answer: D) 130.5 degrees</h3>

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Work Shown:

$c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\$