1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. 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 49E
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Please answer part v and vi
7. (Ratio and Root Tests) Use the ratio or root test to determine the convergence of the following series
ii. Σn!(-e)"
n=1
iii. Σx=1
(-In(n))"
nn
iv.
(n+1)(n+2)
n=1
n!
n=1
v. an with a₁ = 2, an+1 =
1+sin(n)
an
n
vi. an with a₁ =
13, an+1 =
3n-1
2n+5
an
Transcribed Image Text:7. (Ratio and Root Tests) Use the ratio or root test to determine the convergence of the following series ii. Σn!(-e)" n=1 iii. Σx=1 (-In(n))" nn iv. (n+1)(n+2) n=1 n! n=1 v. an with a₁ = 2, an+1 = 1+sin(n) an n vi. an with a₁ = 13, an+1 = 3n-1 2n+5 an
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