©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-
Kuta software infinite algebra 2 geometric sequences answers
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.
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.