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ncriswell ncriswell
  • 19-07-2016
  • Mathematics
Answered

What is the 6th term of the geometric sequence where a1 = −4,096 and a4 = 64?

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dalendrk
dalendrk dalendrk
  • 23-07-2016

\(a_1=4.096;\ a_4=64\\\\a_4:a_1=r^3\\\\r^3=64:4.096\\\\r^3=15.625\\\\r=\sqrt[3]{15.625}\\\\r=2.5\\\\a_6=a_4r^2\to a_6=64\cdot2.5^2=64\cdot6.25=400\\\\Answer:\boxed{a_6=400}\)

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chloegracenelson chloegracenelson
  • 18-03-2021

Answer:

4

Step-by-step explanation:

I took the test

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