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Determine whether the sequence converges or diverges. If it converges, give the limit.

48, 8,4/3 ,2/9 ,...

[tex]48, 8, \frac{4}{3} , \frac{2}{9} , ...[/tex]



Answer :

This is a geometric progression, with ratio [tex]\frac{1}{6}[/tex]. The terms will get smaller and smaller, but will remain strictly positive. It does converge to 0.

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