Download Arithmetic Sequences and more Summaries Algebra 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) โ3, โ23, โ43, โ63, ... 3) โ34, โ64, โ94, โ124, ... 4) โ30, โ40, โ50, โ60, ... 5) โ7, โ9, โ11, โ13, ... 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 = โ11 + 7n Find a 34 8) a n = 65 โ 100n Find a 39 9) a n = โ7.1 โ 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 = โ38, d = โ100 13) a 1 = โ34, d = โ10 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 = โ53.2, d = โ1.1 16) a 40 = โ1191, d = โ30 17) a 37 = 249, d = 8 18) a 36 = โ276, d = โ7 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 = โ 1 3 20) a 1 = 39, d = โ5 21) a 1 = โ26, d = 200 22) a 1 = โ9.2, 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 = โ1.4, d = 0.6 24) a 22 = โ44, d = โ2 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-