Consider the following series. Σ 8h + 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, a, is 0 as n goes to infinity. Diverges; the limit of the terms, a, is not 0 asn goes to infinity. n'

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Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Chapter 11.2 series

Consider the following series.
Σ
8" + 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, a, is 0 as n goes to infinity.
n'
Diverges; the limit of the terms, a,
is not 0 as n goes to infinity.
n'
O 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. Σ 8" + 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, a, is 0 as n goes to infinity. n' Diverges; the limit of the terms, a, is not 0 as n goes to infinity. n' O 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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