oscar8338 oscar8338

01-02-2017
Mathematics

Answered

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively

Verified Answer :

LammettHash LammettHash

01-02-2017

\(a_5=ra_4=r^2a_3=r^3a_2\)
\(2304=-36r^3\implies r=-4\)

Since \(a_2=ra_1\implies -36=-4a_1\implies a_1=9\), the sequence takes the form

\(a_n=(-4)^{n-1}a_1=9(-4)^{n-1}\)

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