Let an, a₁, a2, ... be the sequence defined by the following recurrence relation: a=0 ● a=2a₁-1 +3¹ + 5l for i ≥ 1 Prove that a = 7.2n + 3n+1-5n -10 for any nonnegative integer n.
Let an, a₁, a2, ... be the sequence defined by the following recurrence relation: a=0 ● a=2a₁-1 +3¹ + 5l for i ≥ 1 Prove that a = 7.2n + 3n+1-5n -10 for any nonnegative integer n.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 27E
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![Let an, a₁, a2.... be the sequence defined by the following recurrence relation:
a=0
a₁ = 2a₁-1 +3¹ + 5i for i≥ 1
Prove that a = 7.2 +3n+1-5n -10 for any nonnegative integer n.
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Transcribed Image Text:Let an, a₁, a2.... be the sequence defined by the following recurrence relation:
a=0
a₁ = 2a₁-1 +3¹ + 5i for i≥ 1
Prove that a = 7.2 +3n+1-5n -10 for any nonnegative integer n.
●
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