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To show that the series \[ \sum_{n=1}^{\infty} (-1)^{n+1} \frac{5}{7n+2} \] is conditionally convergent, we can follow these steps: ### 1. Check if the series is alternating The series alternates in sign because of the factor \( (-1)^{n+1} \), so it is an alternating series. ### 2. Use the alternating series test (Leibniz's ________ ___ _____ __________ _____ _______ ____ _______ ______.
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