+∞o Letan be a series such that Sk = a₁ + a₂ + +ak = 2k k+2' for k € {1,2,3,...}. Identify and n=1 justify whether each of the following series converges or diverges. If convergent, find the sum. +∞o (2) Σ an n=1 +∞o Sn (b) n² n=1
+∞o Letan be a series such that Sk = a₁ + a₂ + +ak = 2k k+2' for k € {1,2,3,...}. Identify and n=1 justify whether each of the following series converges or diverges. If convergent, find the sum. +∞o (2) Σ an n=1 +∞o Sn (b) n² n=1
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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Transcribed Image Text:+∞o
Letan be a series such that Sk = a₁ + a₂ +
+ak =
2k
k+2'
for k € {1,2,3,...}. Identify and
n=1
justify whether each of the following series converges or diverges. If convergent, find the sum.
+∞o
(2) Σ
an
n=1
+∞o Sn
(b)
n²
n=1
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