**Problem 3: Find explicit formulas for each of the following sequences:**(a) \( a_n = 4 + 3a_{n-1}, \, a_0 = 6 \)(b) \( a_n = 2a_{n-1} + 3a_{n-2}, \, a_0 = 4, \, a_1 = 9 \)**Problem 4: Use Mathematical Induction to prove your answer to 3a.**

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 2RE

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Find explicit formulas for each of the following sequences: . (a) an=4+3an-1, do 6 (b) an 2an-1 +3an-2, ao = 4, a₁ = 9 =