The 8th term is 625.21.
It is required to find the 8th term.
A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant. where r is the common ratio between successive terms.
Given that:
The given sequence are
18, 30, 50, ...
First term, a =18
Common ratio, r = 1.66
nth term = [tex]ar^{n-1}[/tex]
where , n is the number of terms
8th term=
[tex](18)*1.66^{8-1}\\\\=18*1.66^{7} \\\\=18*34.73\\\\=625.21[/tex]
Therefore, the 8th term is 625.21.
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