Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

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11-06-2016
Mathematics

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Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

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caylus caylus · Answer 1 · 2016-06-11T17:51:36+02:00

caylus caylus

11-06-2016

Hello,

a(2)=-6
a(3)=-6*r
a(4)=-6*r²
a(5)=-6*r^3=162
a(5)/a(2)=r^3=162/(-6)=-27==>r=-3

a(1)=-6/(-3)=2
a(2)=2*(-3)
a(3)=2*(-3)²
a(4)=2*(-3)^3
a(5)=2*(-3)^4

a(n)=2*(-3)^(n-1)

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kymuffett kymuffett · Answer 2 · 2020-08-05T16:19:25+02:00

kymuffett kymuffett

05-08-2020

Answer:

an = 2 • (-3)^n - 1

Step-by-step explanation:

I have taken the test and this is the correct option :)

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