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Answered

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find the missing term in the geometric sequence. ...,96,__,6,...

Sagot :

Answer: Either 24 or -24

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Explanation:

r = common ratio

  • first term = 96
  • second term = 96r
  • third term = 96r*r = 96r^2

Set this equal to the stated third term (6) and solve for r.

96r^2 = 6

r^2 = 6/96

r^2 = 1/16

r = sqrt(1/16) or r = -sqrt(1/16)

r = 1/4 or r = -1/4

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If r = 1/4, then the second term is 96*r = 96*(1/4) = 24

Or

If r = -1/4, then the second term is 96*r = 96*(-1/4) = -24

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