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Define the sequence {b,} as follows: bo = 1 bn = bn-i +n for n > 1 %3D n(n + 1) Use induction to prove that an explicit formula for this sequence is given by: b, + 1 for n > 0. %3D

Define the sequence {b,} as follows: bo = 1 bn = bn-i +n for n > 1 %3D n(n + 1) Use induction to prove that an explicit formula for this sequence is given by: b, + 1 for n > 0. %3D

Algebra & Trigonometry with Analytic Geometry
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 55E
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Define the sequence {b, } as follows: bo = 1 b, = bn-i +n for n > 1 %3D Use induction to prove that an explicit formula for this sequence is given by: b, n(n + 1) + 1 for n > 0. 2
Transcribed Image Text:Define the sequence {b, } as follows: bo = 1 b, = bn-i +n for n > 1 %3D Use induction to prove that an explicit formula for this sequence is given by: b, n(n + 1) + 1 for n > 0. 2
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