Transcription of Infinite Algebra 2 - Review - Algebraic and Geometric ...
1 H d2E0E1X5_ mKguvtOaU SSLoxfXtRw^agrxen ` d WAVlmlO MrziggZhjtUsw brae] D yMiaCdheS UwAintnha NIun^fLiNnxijtHeu lAElygdeLbfrRae by Kuta Software LLCMath 442 Review - Algebraic and Geometric Sequences and SeriesName_____Date_____ A r2f0q1Z5K iKvuYtuac oSJoXfct^w^ajrfeg ]LXLGC^.t q eAUlplo urWiRgNhItUsZ the common difference, the explicit formula, and the recursive ) 27, 25, 23, 21, ..Given two terms in an arithmetic sequence find the common difference, the explicit formula, andthe recursive ) a12 = -97 and a38 = -331 Find the common ratio, the recursive formula, and the explicit ) -1, -6, -36, -216, .. E r2E0K1I5d lKouvtBaU OSposfHtKweaprUeS a mA`l[ly krciogjhptIsk Drae] b lMRa[dYe` ywMixtMhF AIxnnfiiWnyiltMe` iAklFgtebbNrOai by Kuta Software LLC-2-Given two terms in a Geometric sequence find the common ratio, the 8th term, and the ) a1 = -1 and a4 = 645) a2 = 15 and a6 = 9375 Evaluate each arithmetic series ) a1 = 15, d = 10, n = 157) 34 + 43 + 52 + , n = 98) Si = 110(10i - 18)9) Sm = 120(4m - 1)Evaluate each Geometric series ) -4 + 20 - 100 + , n = 811) Sm = 183 3m - 1 w B2T0I1`5p IKNuLtDaJ tS_oZfUt]wqaFrYee O BAAlblO orBihg]hntQsO g \MnaadmeA QwaiWtqh\ ^IrnMffi^nMiatdev UAIlqgJembSr]aM K2[.
2 Worksheet by Kuta Software LLC-3-12) Sm = 1102 (-2)m - 113) a1 = 2, an = 512, r = -2 ^ r2[0Q1i5q KKluXtNae TSno`fatBw\aDrYe^ uL` F SAcl_lz [riiWgshPt[s^ Yr\eFsdeBr\vAerdV.] w KMPaedBeM QwPiftOho HIFnrfSibnYimtveb hASlRgCeWbJrUaC by Kuta Software LLCMath 442 Review - Algebraic and Geometric Sequences and SeriesName_____Date_____ C p2t0O1H5t BKru[tkar ASTo[fPtKwBazraeB n xAPlplf TryiYgRhqtvsy [rDe\ the common difference, the explicit formula, and the recursive ) 27, 25, 23, 21, ..Common Difference: d = -2 Explicit: an = 29 - 2n or an = 27 - 2(n - 1) Recursive: an = an - 1 - 2 a1 = 27 Given two terms in an arithmetic sequence find the common difference, the explicit formula, andthe recursive ) a12 = -97 and a38 = -331 Common Difference: d = -9 Explicit: an = 11 - 9n or an = 2 - 9(n - 1) Recursive: an = an - 1 - 9 a1 = 2 Find the common ratio, the recursive formula, and the explicit ) -1, -6, -36, -216.]]]]]
3 Common Ratio: r = 6 a8 = -279936 Explicit: an = -6n - 1 M h2r0n1C5V BK_uytSao VSJoBfUtrwBaWrEeT sLZL] O bAeldlz Jr]i[gAhUtksA ArRexsEeirPvBe\d^.K Q CMPaYdyey tw^iRtwhg JIenwfNirnZiDtDeo KA\lzgBe\b\raan by Kuta Software LLC-2-Given two terms in a Geometric sequence find the common ratio, the 8th term, and the ) a1 = -1 and a4 = 64 Recursive: a1 = -1, an = an - 1 -4 Explicit: an = -(-4)n - 1 [Common Ratio: [r = -4] ]5) a2 = 15 and a6 = 9375 Common Ratio: r = 5a8 = 234375 Explicit: an = 3 5n - 1 Evaluate each arithmetic series ) a1 = 15, d = 10, n = 1512757) 34 + 43 + 52 + , n = 96308) Si = 110(10i - 18)3709) Sm = 120(4m - 1)820 Evaluate each Geometric series ) -4 + 20 - 100 + , n = 826041611) Sm = 183 3m - 19840 ` l2j0J1R5g vKNuStOaq \Sdo]fHt`w^aKr^ej QLNLMC].
4 S ` XA^lvlL FrEiBgrhFtmsc hrfelsgeHrMvZeZdq.` U EM]ahd\e] ]w_iOtphZ MIEnUfLiPnViht^e` pAhlRgEehbmrwa] by Kuta Software LLC-3-12) Sm = 1102 (-2)m - 1-68213) a1 = 2, an = 512, r = -2342