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MPM 2D8 NAME: KEVIN ARITHMETIC AND GEOMETRIC SERIES ASSIGNMENt 1. Find the sum of each arithmetic series: a) 1 + 2 + 3 + 4 + … + 50 b) S 20 where a = 9 and d = 2 c) 5 + 10 + 15 + … + 1000 c) S 16 where a = 8 and d = ½ 2. Fill in the missing terms of the following arithmetic series: a) 3 + ____ + ____ + ____ + 19 + ____ b) ____ + ____ + ____ + (-26) + ____ + ____ + 118 + ____ 3. Determine whether the following series are arithmetic, geometric or neither: a) t n = 2 3 n b) t n = 1 ( 1 ) n c) t n = 1 + n 2 d) t n = 7 n + 6 4. An arithmetic series has 38 terms, the first of which is -28 and the last of which is 305. Find the sum of the series. 5. Find the sum of each geometric progression: a) a = 3, r = 1 3 ,n = 12 b) a = 45,4 = 0, n = 772 c) a = y ,r = 1 x , n = 18 6. The sum of the geometric series 2 + 8 + 32 is 699050. Find the number of terms in this series.
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