Kuta software infinite algebra 2 finite geometric series

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Name: Date: Math IV: PreCalculus UTA Software Infinite Algebra 2#: Name Finite Geometric Series Date 4.6 PRACTICE: Geometric Sums and Infinite Convergence Period Evaluate the related series of each

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-1- ©i q2C0D1w2T NKfuFtHah zSeo7fHtswQafrVeg uLoLaCQ.8 a IAblilS hrDixgDhftUsr 8rVelsRe4rQvCeod6.Q T cMYaDdPek OwkiGtFhi 6IYndfkiRnqictOed 6Atlyg3eObdr5a4 k2B.u Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name___________________________________ Finite Geometric Series Evaluate the related series of each sequence. 1) 2, 12, 72, 432 2) −1, 5, −25, 125 Date________________ Period____ 3) −2, 6, −18, 54, −162 4) −2, −12, −72, −432, −2592 Evaluate each geometric series described. 7 5) Σk = 1 4 k − 1 6) Σi (−6) i − 1 = 1 8 9 7) Σi = 1 2 i − 1 8) Σm = 1 9 −2 m − 1 8 9) Σn = 1 2 ⋅ (−2) n − 1 10) Σn 4 ⋅ 3 n − 1 = 1 9 10 11) Σn = 1 4 ⋅ (−3) n − 1 12) Σn (−2) n − 1 = 1 9

©iq2C0D1w2TNKfuFtHahzSeo7fHtswQafrVeguLoLaCQ.8aIAblilShrDixgDhftUsr8rVelsRe4rQvCeod6.QTcMYaDdPekOwkiGtFhi6IYndfkiRnqictOed6Atlyg3eObdr5a4k2B.uWorksheet by Kuta Software LLCKuta Software - Infinite Algebra 2Name___________________________________Period____Date________________Finite Geometric SeriesEvaluate the related series of each sequence.1)2,12,72,4322)-1,5,-25,1253)-2,6,-18,54,-1624)-2,-12,-72,-432,-2592Evaluate each geometric series described.5)Σk= 174k- 16)Σi= 18(-6)i- 17)Σi= 192i- 18)Σm= 19-2m- 19)Σn= 182 ⋅(-2)n- 110)Σn= 194 ⋅3n- 111)Σn= 1104 ⋅(-3)n- 112)Σn= 19(-2)n- 1-1-