A bacteria culture begins with 8 bacteria which triple in size every week. How many bacteria exist in the culture after 4 weeks?

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A bacteria culture begins with 8 bacteria which triple in size every week. How many bacteria exist in the culture after 4 weeks?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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A geometric sequence it seems.
i know how to solve it, i just cant figure out how to set up the equation

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Well, it looks like a geometric sequence sum. So, the sum of the first n terms of a geometric sequence is given as, \[S_{n} = a_{1}\frac{ 1 - r^{n} }{ 1-r }\]
ok man, thanks ill see if it works out
At t0=0------> no=8 At t1=1week-------> n1=8*3=24 bacteria At t2------> n2=8*3^2=72 bacteria At t3= 3 weeks-------> n3=8*3^3=216 bacteria At t4=4 weeks-----> n4=8*3^4=684 bacteria (That is the answer)
At tn=n weeks-------. n4=8*3^n

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