Recursively Defined Terms Which of the series E=1a, defined by the formulas in Exercises Give reasons for your answers. converge, and which diverge? 1 + sin n 47. a¡ = 2, An+1 п 1 + tan ¬'n ¯1n 48. aj = 1, An+1 п Зп — 1 2n + 5° 49. a1 An+1 3* 50. a, = 3, an+1 п An n + 1° 2 51. a¡ = 2, ɑn+1 "p! Vn 2 52. aj = 5, an+1 53. aj = 1, 1 + In n An an+1 п n + In n га, n + 10 1 54. a1 ал+1 2'
Recursively Defined Terms Which of the series E=1a, defined by the formulas in Exercises Give reasons for your answers. converge, and which diverge? 1 + sin n 47. a¡ = 2, An+1 п 1 + tan ¬'n ¯1n 48. aj = 1, An+1 п Зп — 1 2n + 5° 49. a1 An+1 3* 50. a, = 3, an+1 п An n + 1° 2 51. a¡ = 2, ɑn+1 "p! Vn 2 52. aj = 5, an+1 53. aj = 1, 1 + In n An an+1 п n + In n га, n + 10 1 54. a1 ал+1 2'
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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Transcribed Image Text:Recursively Defined Terms Which of the series E=1a, defined
by the formulas in Exercises
Give reasons for your answers.
converge, and which diverge?
1 + sin n
47. a¡ = 2, An+1
п
1 + tan
¬'n
¯1n
48. aj = 1, An+1
п
Зп — 1
2n + 5°
49. a1
An+1
3*
50. a, = 3, an+1
п
An
n + 1°
2
51. a¡ = 2, ɑn+1
"p!
Vn
2
52. aj = 5, an+1
53. aj = 1,
1 + In n
An
an+1
п
n + In n
га,
n + 10
1
54. a1
ал+1
2'
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