©vJ22071a2kQKPu1t5av0Smo4fFtJwyaErgejNL6LUC2.a7AAAlFlhsrpiXgUhatrs2qrdeMsmegrgvxeldk.pfIMoajd4e1ywniHtghhAIjnSf4iUniiQtOeTGAElLgyeabqrla3B2Y.5Worksheet by Kuta Software LLCKuta Software - Infinite Algebra 2Name___________________________________Period____Date________________Geometric SequencesDetermine if the sequence is geometric.If it is, find the common ratio.1)-1,6,-36,216, ...2)-1,1,4,3)4,16,36,64, ...4)-3,-15,-75,-3755)-2,-4,-8,-16, ...6)1,-5,25,-125Given the explicit formula for a geometric sequence find the first five terms and the 8th term.8, ..., ..., ...7)an=3n- 18)an=2 ⋅(14)n- 19)an=-2.5 ⋅4n- 110)an=-4 ⋅3n- 1Given the recursive formula for a geometric sequence find the common ratio, the first five terms, and theexplicit formula.11)an=an- 1⋅ 2a1= 212)an=an- 1⋅ -3a1= -313)an=an- 1⋅ 5a1= 214)an=an- 1⋅ 3a1= -3-1- How do you find the infinite geometric series?The general formula for finding the sum of an infinite geometric series is s = a1⁄1-r, where s is the sum, a1 is the first term of the series, and r is the common ratio. To find the common ratio, use the formula: a2⁄a1, where a2 is the second term in the series and a1 is the first term in the series.
How do you determine if a sequence is arithmetic geometric or neither?An arithmetic series is one where each term is equal the one before it plus some number. For example: 5, 10, 15, 20, … Each term in this sequence equals the term before it with 5 added on. In contrast, a geometric sequence is one where each term equals the one before it multiplied by a certain value.
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Kuta software infinite algebra 2 geometric sequences answers
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