1 for n > 2, n2 A famous result of Euler states that (an) is defined by a1 = 1 and an = an-1+ then (an) converges to Use this result to prove the following: If (bn) is defined by b1 = 1 and bn = bn-1+ for n > 2, then (bn) converges n3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 49RE
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1
for n > 2,
n2
A famous result of Euler states that if (an) is defined by a1 = 1 and an = an-1+
then (an) converges to
Use this result to prove the following: If (bn) is defined by bị
6.
1 and
1
for n > 2, then (bn) converges
n3
bn = bn-1+
Transcribed Image Text:1 for n > 2, n2 A famous result of Euler states that if (an) is defined by a1 = 1 and an = an-1+ then (an) converges to Use this result to prove the following: If (bn) is defined by bị 6. 1 and 1 for n > 2, then (bn) converges n3 bn = bn-1+
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