Question 4 of 10If Σuk and Σvk are convergent series, then Σ(uk + vk) andΣ(uk - vk) are convergent series and the sums of these series arerelated by<αα(uk + vk) = Σ uk +μk=1181118k=1αΣ(ux - x) = Σκ-Συκk=1k=1k=1Uk(3) Σ(kk+1) -[6k k(k + 1)UkUse the above theorem to find the sum of each series.NOTE: Write your answer in the form of a reduced improper fraction, if necessary.11(-) (+) + ( + ) + ( + 7) ++...3222k=) + ... = = [

Answered: Image /qna-images/answer/fa40baae-8985-45d9-9e71-aeab40902b60.jpg

Question 4 of 10 If Σur and Σ vk are convergent series, then Σ(uk + vk) and Σ(uk - vk) are convergent series and the sums of these series are related by < α (un + Uk) = k=1 α Σ(un - Uk) = k=1 1 1 1 ΟΣ(7) 0 Σ k=1 8 h(111) k=1 ... uk + Uk Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduced improper fraction, if necessary. 1 (-) (+)+(₂+3)+(2+)+ 22 3² 8 Uk 2k k=1 8 Συ k=1 Uk t=[

Question 4 of 10 If Σur and Σ vk are convergent series, then Σ(uk + vk) and Σ(uk - vk) are convergent series and the sums of these series are related by < α (un + Uk) = k=1 α Σ(un - Uk) = k=1 1 1 1 ΟΣ(7) 0 Σ k=1 8 h(111) k=1 ... uk + Uk Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduced improper fraction, if necessary. 1 (-) (+)+(₂+3)+(2+)+ 22 3² 8 Uk 2k k=1 8 Συ k=1 Uk t=[

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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