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Write an explicit geometric sequence rule

Question 1 of 8

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A geometric sequence has the following recurrence for non-negative integer indices n

\[u_0=48,\qquad u_{n+1}=\frac{3}{2}u_n\]
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Write one complete explicit equation for u(n), valid for every non-negative integer n

Format: Use u(n), numbers, * and one power. Put plain-text fractions and the complete exponent in parentheses. A constant rule is allowed