Word Count : 264

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Let's solve these recurrence relations numerically. --- ### (a) Solving \( a_{n+1} + 1 = 5a_n \), with \( a_0 = 2 \) using Substitution Method #### Step 1: Rewrite the equation \[ a_{n+1} = 5a_n - 1 \] Given \( a_0 = 2 \), we compute successive values: - \( a_1 = 5(2) - 1 = 10 - 1 = 9 \) - \( a_2 ________ ________ ___ ____ ____ _________ ______ ______ ______ __________ __________ _______.
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_________ __________ ___ _____ ______ ____ _____.
_____ ________ _____ ____ _____ ______ ________.
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______ _____ ________ ________ ____ ________ ______ ____ ____.
___ ______ ____ ___ _________ ______ __________ ___ _____.
_______ _____ __________ _____ ___ ______ _______ __________.
________ _________ ________ ______ __________ _____.
_________ ____ __________ ______ _____ ____ _____.
_____ _________ _____ _____ _________ ____ _____ _____.
_________ _______ _______ ___ _______ ________ __________.
______ ________ _____ ________ ______.
______ _____ ___ _________ __________ _____ __________ ____ ___.
___ __________ _____ _________ _____ ____ _____ ________ ________.
___ ______ _________ ___ ___ _______ ___ ________ ______ ___ _____ ____.
_________ ___ ____ __________ ___ ________ __________ _____ ___ ____.
____ ___ _______ __________ _______ ________.
___ ________ _______ ________ _____ _____ ____ ______ ______ ________ ______.
__________ ____ _________ ____ __________.
_______ _________ __________ ________ ________ ______ _____ _______ ___ _________ ____ __________.
_______ ____ _______ ______ _________ _______ _______ ________ ____.
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