Consider the following series. 00 5 8n + 19-n n = 1 Determine whether the geometric series is convergent or divergent. Justify your answer. Converges; the series is a constant multiple of a geometric series. Converges; the limit of the terms, an, is 0 as n goes to infinity. Diverges; the limit of the terms, a 'n' is not 0 as n goes to infinity. Diverges; the series is a constant multiple of the harmonic series. If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Consider the following series.
00
5 8n + 19-n
n = 1
Determine whether the geometric series is convergent or divergent. Justify your answer.
Converges; the series is a constant multiple of a geometric series.
Converges; the limit of the terms, an,
is 0 as n goes to infinity.
Diverges; the limit of the terms, a
'n'
is not 0 as n goes to infinity.
Diverges; the series is a constant multiple of the harmonic series.
If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.)
Transcribed Image Text:Consider the following series. 00 5 8n + 19-n n = 1 Determine whether the geometric series is convergent or divergent. Justify your answer. Converges; the series is a constant multiple of a geometric series. Converges; the limit of the terms, an, is 0 as n goes to infinity. Diverges; the limit of the terms, a 'n' is not 0 as n goes to infinity. Diverges; the series is a constant multiple of the harmonic series. If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.)
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