Word Count : 225

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We are given the recurrence relation: \[ (n+1)a_n - n a_{n-1} = \frac{n}{2}, \quad a_0 = 10, \quad n \geq 1. \] ### Step 1: Express \(a_n\) in Terms of \(a_{n-1}\) Rearrange the recurrence: \[ a_n = \frac{n a_{n-1} + \frac{n}{2}}{n+1}. \] ### Step 2: Compute the First Few Terms Numerically Using \( a_0 = 10 _____ ________ ________ ________ ___.
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