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Sequence & Series

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Sequence & Series Solutions 1. For the following sequences write down the next two terms of the sequence and an expression for the nth term. a. 5, 10, 15, 20, ... b. 1, 1/2, 1/3, 1/4, ... c. 0, 3, 8, 15, 24, ... d. 1/2, 1/6, 1/12, 1/20, ... a. The next two terms are 25, 30 and. b. The next two terms are 1/5, 1/6 and. c. The next two terms are 35, 48 and. d. The next two terms are 1/30, 1/42 and. 2. Write the following series in sigma notation a. 1+8+27+64+125 b. 2+4+6+8+...+20 c. d. e. -4-1+2+5+...+17 f. a. b. c. d. e. f. 3. Write down the first three terms, and where there is one, the last term of each of the following series a. b. c. d. e. a. b. 0+2+6+...+30 c. d. e. 4. Write down the nth term and the stated term of the following A.P's. a. 7+11+15+... (7th) b. -7-5-3-... (23rd) The nth term of an A.P. is a....

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