Doncesinanlathassa Doncesinanlathassa

10-06-2016
Mathematics

Answered

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

Verified Answer :

11-06-2016

Hello,

a(2)=-6
a(3)=-6r
a(4)=-6r²
a(5)=-6r^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

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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