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Margaret is writing a recursive function for the geometric sequence:
10, 30, 90, 270, \dots10,30,90,270,…10, comma, 30, comma, 90, comma, 270, comma, dots
She comes up with:
\begin{cases} t(0)=10 \\\\ t(n)=t(n-1) \cdot 3 \end{cases}
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t(0)=10
t(n)=t(n−1)⋅3
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What domain should Margaret use for ttt so it generates the sequence?
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