Arithmetic Sequences Date Period

1 W J260D1Z2B YKMuWtTaO GS4oTfMtJwbazrfea I jAil2lN 0rSiegahjtDsw S AMWaGddeK Fw7i8tYhj lIgnkfjimnXiGtQeL AAUlYgDe5bDryaX by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Arithmetic SequencesDetermine if the sequence is Arithmetic . If it is, find the common ) 35, 32, 29, 26, ..2) 3, 23, 43, 63, ..3) 34, 64, 94, 124, ..4) 30, 40, 50, 60, ..5) 7, 9, 11, 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 ) a n = 11 + 7 nFind a348) a n = 65 100 nFind a399) a n = nFind a2710) a n = 118 + 12 nFind a23 Given the first term and the common difference of an Arithmetic sequence find the first five terms and theexplicit ) a1 = 28, d = 1012) a1 = 38, d = 10013) a1 = 34, d = 1014)

2 A1 = 35, d = 4-1- G 623081u2o 3 KtuqtVaB jS2oWfFtawKa1rieH M wAolkl4 brPi8gKhdtTsa S SMbaSdieI ewBiYtXhb FIJnWfoi2ngiLtaea 4 Adl0gqe4buruah by Kuta Software LLCG iven a term in an Arithmetic sequence and the common difference find the first five terms and theexplicit ) a38 = , d = ) a40 = 1191, d = 3017) a37 = 249, d = 818) a36 = 276, d = 7 Given the first term and the common difference of an Arithmetic sequence find the recursive formula andthe three terms in the sequence after the last one ) a1 = 35, d = 1320) a1 = 39, d = 521) a1 = 26, d = 20022) a1 = , d = a term in an Arithmetic sequence and the common difference find the recursive formula and thethree terms in the sequence after the last one ) a21 = , d = ) a22 = 44, d = 225) a18 = , d = ) a12 = , d = two terms in an Arithmetic sequence find the recursive ) a18 = 3362 and a38 = 736228)

3 A18 = and a33 = 8 O2e0x1i2M eKwumt6aT tSboQf7t0wHazrveI J 5 ADl0l3 LrfiagIhDtGsh x 3 Mda5dee3 Swoi0tNhY 7 IfnLffignCiXtgeL MA4lWgBezbLrLaj by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Arithmetic SequencesDetermine if the sequence is Arithmetic . If it is, find the common ) 35, 32, 29, 26, .. d = 32) 3, 23, 43, 63, .. d = 203) 34, 64, 94, 124, .. d = 304) 30, 40, 50, 60, .. d = 105) 7, 9, 11, 13, .. d = 26) 9, 14, 19, 24, .. d = 5 Given the explicit formula for an Arithmetic sequence find the first five terms and the term named in the ) a n = 11 + 7 nFind a34 First Five Terms: 4, 3, 10, 17, 24 a34 = 2278) a n = 65 100 nFind a39 First Five Terms: 35, 135, 235, 335, 435 a39 = 38359) a n = nFind a27 First Five Terms: , , , , a27 = ) a n = 118 + 12 nFind a23 First Five Terms.

4 158, 198, 238, 278, 318 a23 = 1038 Given the first term and the common difference of an Arithmetic sequence find the first five terms and theexplicit ) a1 = 28, d = 10 First Five Terms: 28, 38, 48, 58, 68 Explicit: a n = 18 + 10 n12) a1 = 38, d = 100 First Five Terms: 38, 138, 238, 338, 438 Explicit: a n = 62 100 n13) a1 = 34, d = 10 First Five Terms: 34, 44, 54, 64, 74 Explicit: a n = 24 10 n14) a1 = 35, d = 4 First Five Terms: 35, 39, 43, 47, 51 Explicit: a n = 31 + 4 n-1- y j2G0w162b UKVuutoaX bSAoAf1tBweaorJeY Z AAAlJl9 RrMiegphptfst p TMoaSdOew Wwbiwt6hi WI4nXf1i2nFiOtKeH uAolmgYevbkrZae by Kuta Software LLCG iven a term in an Arithmetic sequence and the common difference find the first five terms and theexplicit ) a38 = , d = Five Terms: , , , , : a n = n16) a40 = 1191, d = 30 First Five Terms: 21, 51, 81, 111, 141 Explicit: a n = 9 30 n17) a37 = 249, d = 8 First Five Terms: 39, 31, 23, 15, 7 Explicit.

5 A n = 47 + 8 n18) a36 = 276, d = 7 First Five Terms: 31, 38, 45, 52, 59 Explicit: a n = 24 7 nGiven the first term and the common difference of an Arithmetic sequence find the recursive formula andthe three terms in the sequence after the last one ) a1 = 35, d = 13 Next 3 terms: 415, 115, 25 Recursive: a n = a n 1 13 a1 = 3520) a1 = 39, d = 5 Next 3 terms: 34, 29, 24 Recursive: a n = a n 1 5 a1 = 3921) a1 = 26, d = 200 Next 3 terms: 174, 374, 574 Recursive: a n = a n 1 + 200 a1 = 2622) a1 = , d = 3 terms: , , : a n = a n 1 + a1 = a term in an Arithmetic sequence and the common difference find the recursive formula and thethree terms in the sequence after the last one ) a21 = , d = 3 terms: , , : a n = a n 1 + a1 = ) a22 = 44, d = 2 Next 3 terms: 46, 48, 50 Recursive: a n = a n 1 2 a1 = 225) a18 = , d = 3 terms: , , : a n = a n 1 + a1 = ) a12 = , d = 3 terms.

6 , , 34 Recursive: a n = a n 1 + a1 = two terms in an Arithmetic sequence find the recursive ) a18 = 3362 and a38 = 7362 a n = a n 1 + 200 a1 = 3828) a18 = and a33 = a n = a n 1 + a1 = your own worksheets like this one with Infinite Algebra 2. Free trial available at