Coordinate Algebra Name___________________________________ Arithmetic Sequences Quiz Review Date________________ Period____ Determine if the sequence is arithmetic. If it is, find the common difference. 1) −23, −20, −17, −14, ... 2) −24, 6, 36, 66, ... 3) −30, −28, −26, −24, ... 4) 21, 1, −19, −39, ... 5) −5, 15, 35, 55, ... 6) −15, −23, −31, −39, ... Find the recursive formula. 7) −6, −15, −24, −33, ... 8) 5, −2, −9, −16, ... 9) −20, −12, −4, 4, ... 10) 38, 41, 44, 47, ... 11) −5, 2, 9, 16, ... 12) 20, 10, 0, −10, ... ©X iKsumt6aJ zS6oLfBtBw2a9r0eI uL6LWC0.5 g fAallld CrDiagDhztysJ 6rxeosTedr4vje1dm.o R DM9acdcev 6wni1trhg mICnXfQicn7imtIeH 3AWlqgkepbBr7a4 b2Z.d -1- Worksheet by Kuta Software LLC Find the term named in the problem and the explicit formula. 13) 1, −5, −11, −17, ... Find a38 14) 9, 19, 29, 39, ... Find a37 15) −36, −16, 4, 24, ... Find a37 16) 23, 15, 7, −1, ... Find a32 ©C NKou6tXaW xSvoMfHtNwnaLrEeL ZLTLCCb.e E OA6l6lh NrJiJgvhitGsJ zrqeqsRexrivZeed3.Q h SMaaAdveA vwriStyhl aIqnLfCiUngibt9eE mAmlygieDbTrya1 N2A.i -2- Worksheet by Kuta Software LLC 17) 11, 14, 17, 20, ... Find a27 18) −4, 2, 8, 14, ... Find a28 Given a term in an arithmetic sequence and the common difference find the explicit formula. 19) a20 = −68, d = −4 ©T gKJuhtwao zSroYfstjwEaKrxeu MLdLtCP.4 x KAul3l3 Croi2gFhotTsH krqe9sDesrdvhefdF.H g gMvaGdOef gwniItjh3 8IWncfviknhiTtBeI VAClJg8e0bGrEaH 129.1 20) a29 = 24, d = 2 -3- Worksheet by Kuta Software LLC Coordinate Algebra Name___________________________________ Arithmetic Sequences Quiz Review Date________________ Period____ Determine if the sequence is arithmetic. If it is, find the common difference. 1) −23, −20, −17, −14, ... 2) −24, 6, 36, 66, ... d =3 3) −30, −28, −26, −24, ... d = 30 4) 21, 1, −19, −39, ... d =2 5) −5, 15, 35, 55, ... d = −20 6) −15, −23, −31, −39, ... d = 20 d = −8 Find the recursive formula. 7) −6, −15, −24, −33, ... 8) 5, −2, −9, −16, ... an = an − 1 − 9 an = an − 1 − 7 a1 = −6 a1 = 5 9) −20, −12, −4, 4, ... 10) 38, 41, 44, 47, ... an = an − 1 + 8 an = an − 1 + 3 a1 = −20 a1 = 38 11) −5, 2, 9, 16, ... 12) 20, 10, 0, −10, ... an = an − 1 + 7 an = an − 1 − 10 a1 = −5 a1 = 20 ©8 XKNuNt2aH IS8oifztew9aNrveL ULoLECq.B L nAxlJlB rrfiHgbh3tXsF 3rzeIsIemrBvZe3dL.Q C 7MZaWdaeb NwkiPtFh0 qI7nAfeiHn6iytqe8 bAhlygxeXbKroap x2L.6 -1- Worksheet by Kuta Software LLC Find the term named in the problem and the explicit formula. 13) 1, −5, −11, −17, ... Find a38 14) 9, 19, 29, 39, ... Find a37 a38 = −221 a37 = 369 Explicit: an = 7 − 6n Explicit: an = −1 + 10n 15) −36, −16, 4, 24, ... Find a37 16) 23, 15, 7, −1, ... Find a32 a37 = 684 a32 = −225 Explicit: an = −56 + 20n Explicit: an = 31 − 8n ©c aK3u6toar iSdoOfctGwYaar6e4 MLOLkCv.i R pADlslr hrEingYhqtBsU YrUeosnexrjvjeBdk.t m 9McaWd6eb ZwVi8t4hU WI3nSfDiQn4i6tyeU vA3lIgkeRbJrXa4 Q2e.j -2- Worksheet by Kuta Software LLC 17) 11, 14, 17, 20, ... Find a27 18) −4, 2, 8, 14, ... Find a28 a27 = 89 a28 = 158 Explicit: an = 8 + 3n Explicit: an = −10 + 6n Given a term in an arithmetic sequence and the common difference find the explicit formula. 19) a20 = −68, d = −4 20) a29 = 24, d = 2 an = 12 − 4n ©4 cK5u1tDaC GS7oQfmt8wkaErZea 8LJLqCQ.s l ZA9lJlL CrsiJgHh6tzsQ cr6ePsDeVravNeOdP.r m 9MAaSdYe9 mwviWtRhL BIynWfqi1nYiktPep pANl0geerbXrDal h2V.3 an = −34 + 2n -3- Worksheet by Kuta Software LLC
