An 4n + 3 Determine whether E a, converges or diverges. 40. A series Ea, is defined by the equations 2 + cos n aj = 1 an+1 Vn an

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 98E
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#40
Root Tests
(-9)"
33. E
n=1 n10"+1
n52n
34.
n-1 10"+1
n
35.
00
sin(nT/6)
1 + n/n
In n
36.
n-2
n=1
00
(-1)" arctann
37. E
(-1)"
n2
38.
n=1
n=2 n In n
39. The terms of a series are defined recursively by the equatic
5n + 1
a1 = 2
an+1
an
4n + 3
Determine whether E a, converges or diverges.
40. A series E a, is defined by the equations
2 + cos.
cos n
aj = 1
an+1
an
Vn
Determine whether E a, converges or diverges.
41-42 Let {b,} be a sequence of positive numbers that converge
to 5. Determine whether the given series is absolutely converger
41. E
b" cos nT
(-1)"n!
42.
n"b¡b,b3 · . . bn
n=1
n=1
43. For which of the following series is the Ratio Tant i
Transcribed Image Text:Root Tests (-9)" 33. E n=1 n10"+1 n52n 34. n-1 10"+1 n 35. 00 sin(nT/6) 1 + n/n In n 36. n-2 n=1 00 (-1)" arctann 37. E (-1)" n2 38. n=1 n=2 n In n 39. The terms of a series are defined recursively by the equatic 5n + 1 a1 = 2 an+1 an 4n + 3 Determine whether E a, converges or diverges. 40. A series E a, is defined by the equations 2 + cos. cos n aj = 1 an+1 an Vn Determine whether E a, converges or diverges. 41-42 Let {b,} be a sequence of positive numbers that converge to 5. Determine whether the given series is absolutely converger 41. E b" cos nT (-1)"n! 42. n"b¡b,b3 · . . bn n=1 n=1 43. For which of the following series is the Ratio Tant i
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