Introduction to Sequences

1 K A2D0f172q DKXuitPav 1 SBo4fktywNaXroew F zAflRlm GrditgqhwtvsT K wMyaSdOeT gw9ijtIhN LIknYfTitnbi6tRe2 ZA4lrgueBbTr1aE by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Introduction to SequencesFind the next three terms in each ) 1, 3, 9, 27, 81, ..2) 9, 109, 209, 309, 409, ..3) 0, 3, 8, 15, 24, ..4) 12, 12, 38, 14, 532, ..5) 4, 16, 36, 64, 100, ..6) 14, 34, 54, 74, 94, ..7) 5, 52, 54, 58, 516, ..8) 9, 101, 999, 10001, 99999, ..Find the tenth term in each ) 1, 23, 73, 4, 173.

2 10) 7, 9, 12, 16, 21, ..11) 2, 6, 18, 54, 162, ..12) 23, 18, 13, 8, 3, ..13) 4, 12, 36, 108, 324, ..14) 6, 2, 0, 1, 32, ..15) 28, 172, 372, 572, 772, ..16) 37, 46, 55, 64, 73, ..Find the first four terms in each ) a n = 2 n + 1 n318) a n = 3 n 119) a n = n2 + 120) a n = n3 2 n + 1-1- M s2w061P2m 9 KvuZtda0 3 Ssocf3tOwca0rde4 a SAGlnla mrlirgOhQtYsD K BMzaldde5 VwWittWhD bI0nTfoiInKiNtWeq DAClZgIexbursaF by Kuta Software LLCFind the tenth term in each ) a n = 2 n + 1 n322) a n = 4 n 123) a n = ( 2 n)224) a n = ( 2 n 1)2 Find the first four terms in each ) a n = a n 1 + 10 a1 = 2926) a n = a n 1 2 a1 = 127)

3 A n = a n 1 + n a1 = 428) a n = 2 + a n 12 a1 = 10 Find the tenth term in each ) a n = na n 1 a1 = 130) a n = a n 1 + 10 a1 = 1131) a n = a n 1 3 a1 = 332) a n = 2 + a n 12 a1 = 14 Write the explicit formula for each ) 12, 9, 6, 3, 0, ..34) 6, 3, 2, 32, 65, ..Write the recursive formula for each ) 2, 4, 7, 11, 16, ..36) 15, 215, 415, 615, 815, ..-2- x 629061M2X fKcu4tPaj QS3o2fktXwoaOrpeN 6 wAWlslA wruiPgxhttOs9 i 9 MOavdJex AwdiztFhP uIGnvfSi0ngiotWes KAYlGgreKbkr6av by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Introduction to SequencesFind the next three terms in each ) 1, 3, 9, 27, 81.

4 243, 729, 21872) 9, 109, 209, 309, 409, ..509, 609, 7093) 0, 3, 8, 15, 24, ..35, 48, 634) 12, 12, 38, 14, 532, .. 332, 7128, 132; Note: a n = n 2 n5) 4, 16, 36, 64, 100, ..144, 196, 2566) 14, 34, 54, 74, 94, ..114, 134, 1547) 5, 52, 54, 58, 516, .. 532, 564, 51288) 9, 101, 999, 10001, 99999, ..1000001, 9999999, 100000001 Find the tenth term in each ) 1, 23, 73, 4, 173, .. a10 = 1410) 7, 9, 12, 16, 21, .. a10 = 6111) 2, 6, 18, 54, 162, .. a10 = 3936612) 23, 18, 13, 8, 3.

5 A10 = 2213) 4, 12, 36, 108, 324, .. a10 = 7873214) 6, 2, 0, 1, 32, .. a10 = 1276415) 28, 172, 372, 572, 772, .. a10 = 177216) 37, 46, 55, 64, 73, .. a10 = 118 Find the first four terms in each ) a n = 2 n + 1 n33, 58, 727, 96418) a n = 3 n 11, 3, 9, 2719) a n = n2 + 12, 5, 10, 1720) a n = n3 2 n + 1 13, 85, 277, 649-1- C Z2S0M1A2u vKjuKtSaL 3 SAoLfotUwoaarSe2 G NA8leld XrxiXgNhvtAsh b DM2aYdgeL nwRi3tWh3 UIBnafGiEnbiatyew LAslTgjegbvrYaJ by Kuta Software LLCFind the tenth term in each ) a n = 2 n + 1 n3 a10 = 21100022) a n = 4 n 1 a10 = 26214423) a n = ( 2 n)2 a10 = 40024) a n = ( 2 n 1)

6 2 a10 = 361 Find the first four terms in each ) a n = a n 1 + 10 a1 = 2929, 39, 49, 5926) a n = a n 1 2 a1 = 1 1, 2, 4, 827) a n = a n 1 + n a1 = 4 4, 2, 1, 528) a n = 2 + a n 12 a1 = 1010, 6, 4, 3 Find the tenth term in each ) a n = na n 1 a1 = 1 a10 = 362880030) a n = a n 1 + 10 a1 = 11 a10 = 10131) a n = a n 1 3 a1 = 3 a10 = 5904932) a n = 2 + a n 12 a1 = 14 a10 = 6332 Write the explicit formula for each ) 12, 9, 6, 3, 0.

7 A n = 15 + 3 n34) 6, 3, 2, 32, 65, .. a n = 6 nWrite the recursive formula for each ) 2, 4, 7, 11, 16, .. a n = a n 1 + n a1 = 236) 15, 215, 415, 615, 815, .. a n = a n 1 + 200 a1 = 15-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at