If E Uk and > vk are convergent series, then > (uk + vk) and (u – vk) are convergent series and the sums of these series are - related by E(uk + vk) = L Uk +2 Uk k=1 k=1 k=1 E(uk – vk) = £ Σ Uk k=1 k=1 k=1 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 (a) 1 + 6. 1 1 1 1 + bk ... 22 62 2k 1 (b) 8k k(k + 1) k=1

If E Uk and > vk are convergent series, then > (uk + vk) and (u – vk) are convergent series and the sums of these series are - related by E(uk + vk) = L Uk +2 Uk k=1 k=1 k=1 E(uk – vk) = £ Σ Uk k=1 k=1 k=1 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 (a) 1 + 6. 1 1 1 1 + bk ... 22 62 2k 1 (b) 8k k(k + 1) k=1

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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