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Mathematics - Algebra

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Find the sum of Integers ...

For each of the sequences below ...

Find the sum of the infinite series ...

(Questions attached in a doc file, please where possible explain and show method)

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The expert examines algebra sequences in mathematics. A Complete, Neat and Step-by-step Solution is provided in the attached file.

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(a) (i) Sum = 87 - S18 = (87 * 88/2) - (18 * 19/2) = 3657
(ii) S (9 + 6i) over i = 19 to i = 87 = 9[87 - S18] + 6(87 - 18) = 9(3657) + 6(69) = 33327
(b) (i) This sequence diverges
(ii) This sequence also diverges.
(c) a = (3/11)^3, r = 3/11
Sum to infinity = a/(1 - r) = ...

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