Secondary I - 4.3 Arithmetic and Geometric Sequences …

1 U 82v0d1A3b rKGuNtram YSfo6fGt0wZazrCeL 5 HAvlEll brFiWgGhptXsa i RMSakdZeH 4wjiDtVhw gICnLfAiPnXibtJeG rAjlggdeDb4r1a7 by Kuta Software LLCS econdary IID: 1 Name_____ Period____ 6 227091x3k eKouptMaj GSSoqfetUwLavrVej l WA5lKlm qroiXgOhHtks6 Arithmetic and Geometric Sequences WorksheetDetermine if the sequence is Arithmetic . If it is, find the common ) 9, 109, 209, 309, ..2) 28, 18, 8, 2, ..3) 28, 26, 24, 22, ..4) 16, 6, 4, 14, ..5) 8, 4, 0, 4, ..6) 1, 12, 0, 12, ..Find the common difference and the three terms in the sequence after the last one ) 39, 33, 27, 21, ..8) 27, 17, 7, 3, ..9) 17, 13, 9, 5, ..10) 15, 2315, 4315, 215.

2 Find the common difference and the recursive ) 9, 19, 29, 39, ..12) 22, 19, 16, 13, ..13) 3, 97, 197, 297, ..14) 34, 43, 52, 61, ..-1- D B210e1f36 0 KSuBtlao SS4o5fXtGwoaIrpem Y JA5lili ZrFi8gghotDsL 7 EMqaMdMeN 4wci4t1hg KIunUfWi3nVistVeb sAjlTgZe8bJrCaz by Kuta Software LLCFind the common difference, the term named in the problem, and the explicit ) 17, 11, 5, 1, ..Find a3916) 5, 5, 15, 25, ..Find a2017) 40, 47, 54, 61, ..Find a2918) 32, 132, 232, 332, ..Find a4019) 8, 22, 52, 82, ..Find a2020) 29, 38, 47, 56, ..Find a2921) 36, 29, 22, 15, ..Find a2922) 20, 29, 38, 47, ..Find a20 Determine if the sequence is Geometric .

3 If it is, find the common ) 2, 10, 50, 250, ..24) 1, 6, 36, 216, ..25) 1, 5, 25, 125, ..26) 2, 10, 50, 250, ..27) 3, 1, 13, 19, ..28) 2, 12, 18, 132, ..-2- Q u2t0m1D33 BKbuptZa1 pS8o7fytfwtaAr6ew f nABl4ly NrUiPgchIt9sQ T fMIaJdjem SwMiXtbhC vI3nAfeiTndiotReM 7A2ligBe4bordaG by Kuta Software LLCFind the common ratio and the three terms in the sequence after the last one ) 2, 8, 32, 128, ..30) 2, 8, 32, 128, ..31) 3, 6, 12, 24, ..32) 2, 10, 50, 250, ..Find the common ratio and the recursive ) 1, 5, 25, 125, ..34) 3, 15, 75, 375, ..35) 3, 15, 75, 375, ..36) , 1, 2, 4, ..Find the common ratio, the term named in the problem, and the explicit ) 4, 12, 36, 108.

4 Find a938) 2, 6, 18, 54, ..Find a1239) 3, 9, 27, 81, ..Find a1040) 4, 8, 16, 32, ..Find a1141) 4, 12, 36, 108, ..Find a1242) 4, 8, 16, 32, ..Find a10-3- e D2q0q143I sKFultjaC PSUo9fxtHwMaarue8 E 2 Aelrl3 krYiAgHhTtYsU F sMsa3dpeY iwFiXtAhI WITn1f2i0nHiutMe6 iA4lFgBe3bdr0aQ by Kuta Software LLC43) 20, 10, 5, 52, ..Find a944) 12, 16, 118, 154, ..Find a12 Given the first term and the common difference of an Arithmetic sequence find the explicit formulaand the three terms in the sequence after the last one ) a1 = 35, d = 2046) a1 = 22, d = 947) a1 = 34, d = 248) a1 = 22, d = 30 Given the first term and the common ratio of a Geometric sequence find the explicit formula and thethree terms in the sequence after the last one ) a1 = 4, r = 450) a1 = 2, r = 451) a1 = 1, r = 352) a1 = 3, r = 5 Find the missing term or terms in each Arithmetic ).

5 , 6, ___, 8, ..54) .., 30, ___, ___, 0, ..55) .., 14, ___, ___, 46, ..56) .., 38, ___, ___, 65, ..-4- 2 K2b0S1s38 SKvuNt5a8 bSToqfotswXavrqeF d EAdlelK rrPiXgXh5tEsx G BMOa8d7ey 6wVi3tJhS oIOnNfgi0nfiytaeB 5 ABlagreLbMrtaI by Kuta Software LLCS econdary IID: 1 Name_____ Period____ p V2v0X1L3r TKEuetAai ZS3oYftthw0aurjeb o 2 AIl2lM YrUiVgAh0tcse Arithmetic and Geometric Sequences WorksheetDetermine if the sequence is Arithmetic . If it is, find the common ) 9, 109, 209, 309, .. d = 1002) 28, 18, 8, 2, .. d = 103) 28, 26, 24, 22, .. d = 24) 16, 6, 4, 14, .. d = 105) 8, 4, 0, 4, .. d = 46) 1, 12, 0, 12, .. d = 12 Find the common difference and the three terms in the sequence after the last one ) 39, 33, 27, 21.

6 Common Difference: d = 6 Next 3 terms: 15, 9, 38) 27, 17, 7, 3, ..Common Difference: d = 10 Next 3 terms: 13, 23, 339) 17, 13, 9, 5, ..Common Difference: d = 4 Next 3 terms: 1, 3, 710) 15, 2315, 4315, 215, ..Common Difference: d = 43 Next 3 terms: 8315, 10315, 415 Find the common difference and the recursive ) 9, 19, 29, 39, ..Common Difference: d = 10 Recursive: a n = a n 1 + 10 a1 = 912) 22, 19, 16, 13, ..Common Difference: d = 3 Recursive: a n = a n 1 3 a1 = 2213) 3, 97, 197, 297, ..Common Difference: d = 100 Recursive: a n = a n 1 + 100 a1 = 314) 34, 43, 52, 61, ..Common Difference: d = 9 Recursive: a n = a n 1 + 9 a1 = 34-1- e J2S0n1E3Z 6 KZuqtHa4 4 SvoBf9thwOavrUez u LA0l8lP 4rGiggvhYt5sF s JMyaQdUeN EwaiFtshx PIBnBfkixnmiztfeF vAElVgXeYborMa6 by Kuta Software LLCFind the common difference, the term named in the problem, and the explicit ) 17, 11, 5, 1.

7 Find a39 Common Difference: d = 6 a39 = 211 Explicit: a n = 17 + ( n 1) 616) 5, 5, 15, 25, ..Find a20 Common Difference: d = 10 a20 = 185 Explicit: a n = 5 + ( n 1) 1017) 40, 47, 54, 61, ..Find a29 Common Difference: d = 7 a29 = 236 Explicit: a n = 40 + ( n 1) 718) 32, 132, 232, 332, ..Find a40 Common Difference: d = 100 a40 = 3932 Explicit: a n = 32 + ( n 1) 10019) 8, 22, 52, 82, ..Find a20 Common Difference: d = 30 a20 = 562 Explicit: a n = 8 + ( n 1) 3020) 29, 38, 47, 56, ..Find a29 Common Difference: d = 9 a29 = 281 Explicit: a n = 29 + ( n 1) 921) 36, 29, 22, 15.

8 Find a29 Common Difference: d = 7 a29 = 160 Explicit: a n = 36 + ( n 1) 722) 20, 29, 38, 47, ..Find a20 Common Difference: d = 9 a20 = 191 Explicit: a n = 20 + ( n 1) 9 Determine if the sequence is Geometric . If it is, find the common ) 2, 10, 50, 250, .. r = 524) 1, 6, 36, 216, .. r = 625) 1, 5, 25, 125, .. r = 526) 2, 10, 50, 250, .. r = 527) 3, 1, 13, 19, .. r = 1328) 2, 12, 18, 132, .. r = 14-2- 1 x2J0t193r 4K6u7thaF LSKosfYtBwFaWrxes Y oAjlKl5 HrTi5gZh0tlsl l LM7abdKey JwmintYhF jI1nlfZidnJi8tLeo MA9ldgteNburfah by Kuta Software LLCFind the common ratio and the three terms in the sequence after the last one ) 2, 8, 32, 128.

9 Common Ratio: r = 4 Next 3 terms: 512, 2048, 819230) 2, 8, 32, 128, ..Common Ratio: r = 4 Next 3 terms: 512, 2048, 819231) 3, 6, 12, 24, ..Common Ratio: r = 2 Next 3 terms: 48, 96, 19232) 2, 10, 50, 250, ..Common Ratio: r = 5 Next 3 terms: 1250, 6250, 31250 Find the common ratio and the recursive ) 1, 5, 25, 125, ..Common Ratio: r = 5 Recursive: a n = a n 1 5 a1 = 134) 3, 15, 75, 375, ..Common Ratio: r = 5 Recursive: a n = a n 1 5 a1 = 335) 3, 15, 75, 375, ..Common Ratio: r = 5 Recursive: a n = a n 1 5 a1 = 336) , 1, 2, 4, ..Common Ratio: r = 2 Recursive: a n = a n 1 2 a1 = the common ratio, the term named in the problem, and the explicit ) 4, 12, 36, 108.

10 Find a9 Common Ratio: r = 3 a9 = 26244 Explicit: a n = 4 3 n 138) 2, 6, 18, 54, ..Find a12 Common Ratio: r = 3 a12 = 354294 Explicit: a n = 2 ( 3) n 139) 3, 9, 27, 81, ..Find a10 Common Ratio: r = 3 a10 = 59049 Explicit: a n = 3 ( 3) n 140) 4, 8, 16, 32, ..Find a11 Common Ratio: r = 2 a11 = 4096 Explicit: a n = 4 ( 2) n 141) 4, 12, 36, 108, ..Find a12 Common Ratio: r = 3 a12 = 708588 Explicit: a n = 4 3 n 142) 4, 8, 16, 32, ..Find a10 Common Ratio: r = 2 a10 = 2048 Explicit: a n = 4 2 n 1-3- Z J2F03183J NKEurtTa6 ZSVohf0tiwxaArhee Z GA1lIle 3rsiKg8hctRsK e 6 MkaCdIe2 dw5ietnhl 7 IQngfli2nGixtlec AAUlngVeXbErWa9 by Kuta Software LLC43) 20, 10, 5, 52.