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Consider the following series. 1 5 1 10 1 15 1 20 1 25 Determine whether the series is convergent or divergent. Justify your answer. Converges; the series is a constant multiple geometric series. Converges; the limit of the terms, an, is 0 as n goes to infinity. Diverges; the limit of the terms, an, is not 0 as n goes to infinity. Diverges; the series is a constant multiple of the harmonic series.

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batolisis

Answer:

The series Diverges ; The series is a constant multiple of harmonic series

Step-by-step explanation:

The series :

1/5 + 1/10 + 1/15 + 1/20 + 1/25

The series  can be expressed as :

a1 = 1 / 5*1

a2 = 1 / 5*2

a3 = 1 / 5*3

a4 = 1 / 5*4

a5 = 1 / 5*5

hence we can write a[tex]_{n}[/tex] as ;  a

attached below is the remaining part of the solution

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