Word Count : 173

---

The sequence \((a_n)\) is defined as: - \(a_1 = 3\) - \(a_{n+1} = \frac{1}{5}a_n\) To show that the sequence converges, we need to investigate the behavior of the sequence as \(n\) approaches infinity. ### Step 1: Find the general form of \(a_n\) We ___ _____ ______ ______ __________ _________ ____ __________.
________ ______ _________ ___ ______ _______ _______ ___ ___ __________ __________ __________.
__________ ___ _________ __________ __________ _______ ______.
_____ _______ _______ _____ ________ _____ _____ _______.
____ ________ ____ _____ ________ ________ ___ _________ _____ _____.
__________ ____ ________ ________ ________ _____.
__________ _____ ________ _______ ____ ______ ______ ______ __________ _____ ______ _______.
________ ______ _______ _______ _________ ______ _____ ____ _________ ________ _____ _______.
________ ___ _________ ________ _____ _______.
________ _________ _______ ________ ______.
___ _______ ______ ________ _________ ____.
__________ _____ ______ _________ _____ ___ _____ __________ ________ ___ _______ ___.
____ _______ _______ _________ _____ _______ ____ _______ _____ ___.
___ ___ ___ _________ _____ ________.
___ ______ _________ ________ _______ ______ _________ ___ _______ ____.
Get Full Answer on WhatsApp