Word Count : 389

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We are given the sequence defined by the formula: \[ a_n = \frac{n}{n^2 + 4} \] ### 1. Monotonicity To show that the sequence is monotonic, we need to check whether the sequence is either increasing or decreasing. We can check the difference between consecutive terms \( a_{n+1} \) and \( a_n \). The difference is given by: \[ a_{n+1} - a_n = \frac{n+1}{(n+1)^2 + 4} - \frac{n}{n^2 + 4} \] We need to find out if _____ __________ _______ ___ __________ ___ ___ ___ ____ ________.
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