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3 years ago

Write a recursive formula for the sequence 15, 26, 48, 92, 180.

2 answers:

7 0

We are given the sequence 15, 26, 48, 92, 180. if we try to get the difference of the numbers, the sequence of the differences is 11,22, 44, 88.. this means the first difference is 11 and the succeeding differences is multiplied by 2 and so on.

12345 [234]3 years ago

4 0

15, 26, 48, 92, 180

  26 - 15 = 13
  48 - 26 = 22
  92 - 48 = 44
180 - 92 = 88

  26 ÷ 15 = 1.73
  48 ÷ 26 = 1.84
  92 ÷ 48 = 1.9167
180 ÷ 92 = 1.95

The recursive formula isn't arithmetic or geometric.

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HELP!! What is the approximate measure of angle x in the triangle shown?

Alex Ar [27]

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

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Work Shown:

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

Note: I used the law of cosines. Make sure your calculator is in degree mode.

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2 years ago

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NemiM [27]

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Read 2 more answers

A test driver has to drive a car on a 1-mile track for two rounds in a way, that his average speed is 60 mph. On his first round

Darya [45]

(40+x)/2=60

40 +x = 120

x = 80

check :

40+80 = 120

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so his second round needs to be 80 mph

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2 years ago