mjleib1 mjleib1
  • 17-03-2018
  • Mathematics
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What is a possible value for the missing term of the geometric sequence 37 __ 925

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 13-03-2019

ANSWER

[tex] \pm185[/tex]

EXPLANATION

Let the missing term be x.

Then the sequence becomes,

[tex]37,x,925[/tex]

[tex] \frac{x}{37} = \frac{925}{x} [/tex]

Cross multiply to get,

[tex] {x}^{2} = 34225[/tex]

Take square root of both sides,

[tex]x = \pm \sqrt{34225} [/tex]

[tex]x = \pm185[/tex]

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