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AVprozaik [17]
3 years ago
14

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

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0
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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