Word Count : 321

---

The series in question is: \[ \sum_{n=1}^{\infty} (-1)^{n+1} \frac{5}{7n+2} \] To determine if this series is conditionally convergent, we can use the alternating series test (also known as the Leibniz criterion). This test states that an alternating series of the form: \[ \sum (-1)^n a_n \] converges if the following two conditions are satisfied: 1. \( a_n \geq 0 \) for all \( n \), and 2. \( a_n \) is decreasing (i.e., \( a_{n+1} \leq a_n \) for all _______ ________ _____ ________ ________ ____ ___ _______ _____ ________ ___.
___ ________ _______ ________ ____ __________ _____ ________ _________ _____ ______ ___.
____ _______ ________ _______ ________ ___ _________ _________ ___ _____ _________ _____.
_________ _________ ____ ______ __________ ____.
___ ___ ______ _________ _______ _____ ________ ____.
________ ___ _______ ___ ________ _________ ________.
__________ _______ ____ __________ __________ ___ ______ ______ __________ __________ _________.
____ ___ _____ ______ ____ _________ _____ __________.
___ __________ ________ _________ _______ __________ __________ ________ ______ _________ ________.
________ _________ ________ _____ ___ ______ ______ __________ ____.
_______ ________ ______ ____ __________ _______ ____ _________ ______.
_______ ________ ___ _________ ______ _________.
_______ ____ _____ ____ ____ ______ ____ __________ _________ ____ __________.
______ ______ _______ ____ _____ ________ _____ _______ _____.
_____ _____ ______ _____ ____ ____ ________ _______ ______ ________ ________.
________ ____ _______ ____ ________ _____ ______ ____ ______ ____ ________ _________.
_____ _______ ____ ________ _____ ___.
___ _________ ______ ______ _____ _____ ______ _____ ________ ______ ________.
___ __________ ______ ________ ________ ______ ______ _____ ____ _________ ________.
_________ _________ ________ ___ ________ ______ _____ __________ __________ _______ ________.
______ _____ __________ _________ _______ ____.
__________ ________ ____ _____ ____ ___ _________.
_____ ________ _______ _______ __________ ___.
________ _____ __________ __________ ________ ______.
______ ___ ___ _____ ________ _________ __________ ____.
________ _____ _________ ___ ________ __________ _______ ________ _________ _________ _________ ________.
_____ _____ _______ ________.
Get Full Answer on WhatsApp