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Write an explicit geometric sequence rule

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Question 1 of 8

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

\[u_0=80,\qquad u_{n+1}=\frac{1}{2}u_n\]
1 mark

State an explicit nth-term equation using u and n, for 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