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g901242joe451 g901242joe451
  • 21-08-2016
  • Mathematics
Answered

Geometric sequence help

Geometric sequence help class=

Verified Answer :

caylus
caylus caylus
  • 21-08-2016

Hello,

First we must find the ratio:

\(r= \dfrac{ u_{2}}{ u_{1}} = \dfrac{20}{-5} =-4\\\\ r= \dfrac{ u_{3}}{ u_{2}} = \dfrac{-80}{20} =-4\\\\ u_{1}= -5\\ u_{2}= -5*(-4)\\ u_{3}= -5*(-4)^2\\ u_{4}= -5*(-4)^3\\ \boxed{u_{n}= -5*(-4)^{n-1}\\}\\\\ Answer\ B\)

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