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a) The 3rd term of an arithmetic series is (5x + 5y) and the 6th term is (8x + 11y). Find, in terms of x and y: i) the common difference; ii) the first term; iii) the sum of the first 20 terms, giving your answer in fully factorised form.

a) The 3rd term of an arithmetic series is (5x + 5y) and the 6th term is (8x + 11y). Find, in terms of x and y: i) the common difference; ii) the first term; iii) the sum of the first 20 terms, giving your answer in fully factorised form.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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a) The 3rd term of an arithmetic series is (5x + 5y) and the 6th term is (8x + 11y). Find, in terms of x and y: i) the common difference; ii) the first term; iii) the sum of the first 20 terms, giving your answer in fully factorised form. b) A geometric series is defined as 4+8+ .... If Un denotes the nth term and S, denotes the sum of the first n terms, find U13 - S12.
Transcribed Image Text:a) The 3rd term of an arithmetic series is (5x + 5y) and the 6th term is (8x + 11y). Find, in terms of x and y: i) the common difference; ii) the first term; iii) the sum of the first 20 terms, giving your answer in fully factorised form. b) A geometric series is defined as 4+8+ .... If Un denotes the nth term and S, denotes the sum of the first n terms, find U13 - S12.
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