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Arithmetic Sequences Worksheet for Algebra 2, Cheat Sheet of Family and Consumer Science

A worksheet on arithmetic sequences for algebra 2 students. It includes exercises to determine if a sequence is arithmetic, find the common difference, explicit formula, recursive formula, and given two terms, find the recursive formula. The worksheet also covers finding the first five terms and the term named in the problem, given the first term and the common difference.

Typology: Cheat Sheet

2023/2024

Uploaded on 01/26/2024

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Download Arithmetic Sequences Worksheet for Algebra 2 and more Cheat Sheet Family and Consumer Science in PDF only on Docsity! ยฉw J260D1Z2B YKMuWtTaO GS4oTfMtJwbazrfea 5LlLbCG.n I jAil2lN 0rSiegahjtDsw DrPeYsleyrDvSekdC.j S AMWaGddeK Fw7i8tYhj lIgnkfjimnXiGtQeL A UlYgDe5bDryaX f2r.a Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name___________________________________ Period____Date________________Arithmetic Sequences Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26, ... 2) โˆ’3, โˆ’23, โˆ’43, โˆ’63, ... 3) โˆ’34, โˆ’64, โˆ’94, โˆ’124, ... 4) โˆ’30, โˆ’40, โˆ’50, โˆ’60, ... 5) โˆ’7, โˆ’9, โˆ’11, โˆ’13, ... 6) 9, 14, 19, 24, ... Given the explicit formula for an arithmetic sequence find the first five terms and the term named in the problem. 7) a n = โˆ’11 + 7n Find a 34 8) a n = 65 โˆ’ 100n Find a 39 9) a n = โˆ’7.1 โˆ’ 2.1n Find a 27 10) a n = 11 8 + 1 2 n Find a 23 Given the first term and the common difference of an arithmetic sequence find the first five terms and the explicit formula. 11) a 1 = 28, d = 10 12) a 1 = โˆ’38, d = โˆ’100 13) a 1 = โˆ’34, d = โˆ’10 14) a 1 = 35, d = 4 -1- ยฉG 623081u2o 3KtuqtVaB jS2oWfFtawKa1rieH ULUL4CZ.V M wAolkl4 brPi8gKhdtTsa Xrje1sHe9ruvKeKdK.T S SMbaSdieI ewBiYtXhb FIJnWfoi2ngiLtaea 4Adl0gqe4buruah o2X.S Worksheet by Kuta Software LLC Given a term in an arithmetic sequence and the common difference find the first five terms and the explicit formula. 15) a 38 = โˆ’53.2, d = โˆ’1.1 16) a 40 = โˆ’1191, d = โˆ’30 17) a 37 = 249, d = 8 18) a 36 = โˆ’276, d = โˆ’7 Given the first term and the common difference of an arithmetic sequence find the recursive formula and the three terms in the sequence after the last one given. 19) a 1 = 3 5 , d = โˆ’ 1 3 20) a 1 = 39, d = โˆ’5 21) a 1 = โˆ’26, d = 200 22) a 1 = โˆ’9.2, d = 0.9 Given a term in an arithmetic sequence and the common difference find the recursive formula and the three terms in the sequence after the last one given. 23) a 21 = โˆ’1.4, d = 0.6 24) a 22 = โˆ’44, d = โˆ’2 25) a 18 = 27.4, d = 1.1 26) a 12 = 28.6, d = 1.8 Given two terms in an arithmetic sequence find the recursive formula. 27) a 18 = 3362 and a 38 = 7362 28) a 18 = 44.3 and a 33 = 84.8 -2-
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