Let us define the sequence called a, so that a1=3 a2=5. a_n = a_(n−1) + 2_(an−2) − 2. for each n is greater than or equal to 3. The induction that must be used is strong induction to prove that for each n ∈ N, a_n = (2^n) + 1.
Let us define the sequence called a, so that a1=3 a2=5. a_n = a_(n−1) + 2_(an−2) − 2. for each n is greater than or equal to 3. The induction that must be used is strong induction to prove that for each n ∈ N, a_n = (2^n) + 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 1E
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Let us define the sequence called a, so that a1=3 a2=5. a_n = a_(n−1) + 2_(an−2) − 2. for each n is greater than or equal to 3. The induction that must be used is strong induction to prove that for each n ∈ N, a_n = (2^n) + 1.
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