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MISCELLANEOUS SEQUENCES & SERIES QUESTIONS

Created by T. Madas Created by T. Madas MISCELLANEOUS SEQUENCES & SERIES QUESTIONS Created by T. Madas Created by T. Madas Question 1 (**+) Show that 1212728430rrr= ++= . Detailed workings must be shown in this question. MP2-D, proof Created by T. Madas Created by T. Madas Question 2 (**+) Evaluate the following sum ()30132478rrr= . Detailed workings must support the answer. MP2-V, 715,822, 200 Created by T. Madas Created by T. Madas Question 3 (**+) Three numbers, A, B, C in that order, are in geometric progression with common ratio r. Given further that A, 2B, C in that order are in arithmetic progression, determine the possible values of r. MP2-X,23r= Question 4 (**+) An arithmetic SERIES has common difference 2. The rd3, th6 and th10 terms of the arithmetic SERIES are the respective first three terms of a geometric SERIES . Determine in any order the first term of the arithmetic SERIES and the common ratio of the geometric SERIES .

An arithmetic series has common difference 2. The 3rd, 6th and 10 th terms of the arithmetic series are the respective first three terms of a geometric series. Determine in any order the first term of the arithmetic series and the common ratio of the geometric series. MP2-Z , a =14 , 4 3 r =

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