Kuta Software - Infinite Algebra 2. Given the explicit formula for a geometric sequence find the first five terms and the 8th term.

Transcription

1 -1-7 X2R0i1G1i fkmubtgan NSaoyfGtewaaarZe8 QLwLVCz.j o QANlOlo Traiwg8hytwso 5rJe7sVezr6vTeZdz.B Z nmdapdrep Dwwi2t6hf PI2nUfxiBn3istcel LAslcg4eJbYrYah Y2w.t Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name Geometric Sequences Date Period Determine if the sequence is geometric. If it is, find the common ratio. 1) 1, 6, 36, 216,... 2) 1, 1, 4, 8,... 3) 4, 16, 36, 64,... 4) 3, 15, 75, 375,... 5) 2, 4, 8, 16,... 6) 1, 5, 25, 125,... Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 7) a n = 3 n 1 8) a n ( 1 4)n 1 9) a n = n 1 10) a n = 4 3 n 1 Given the recursive formula for a geometric sequence find the common ratio, the first five terms, and the 11) a n 2 12) a n 3 = 3 13) a n 3 14) a n 5

2 -2- c 72o0l1U14 SKauPt4aS BS2oefVtfwzaTrYew altl8cv.h R cael2le 4rZi1gAhXthsB zryehsfeurhv0e6db.g H nmxavdkei pw9imtvhu aiqnzfliyneietqex baulbgrepburgaq D21.g Worksheet by Kuta Software LLC Given the first term and the common ratio of a geometric sequence find the first five terms and the 15) = 0.8, r = 5 16) = 1, r 17) = 1, r = ), r = 3 Given the first term and the common ratio of a geometric sequence find the recursive formula and the three terms in the sequence after the last one given. 19) = 4, r = 6 20), r = 6 21), r = 6 22) = 4, r Given a term in a geometric sequence and the common ratio find the first five terms, the explicit formula, and the recursive formula. 23) a 2 = 3, r 24) a 5 = 16 27, r 3

3 -3- x Z2j0A1U1E SKeuktBae esdomfytjwaaprheh SLYLJCF.N x CAClhlV GrEijgdhgtcsi jryessueurcvre0dj.b a IMiandSer LwjiFtXhQ 0IknAfWiTn1iTtVeM NAIlUgxeBbKr1ay n2o.y Worksheet by Kuta Software LLC 25) a 4 5, r = 5 26), r = 5 Given two terms in a geometric sequence find the 8th term and the recursive formula. 27) a 4 = 12 and a 5 = 6 28) a 5 = 768 and a 2 = 12 29) a 2 = 1 3 and = 1 30) a 5 = 3888 and a 3 = 108

4 -1- l h2n0f1s1y xksuhtfat 9Snopfzt2wNaVr8e3 2LsLzCT.p 1 7ABlHlW 2rLiVgVhFtUss Wr9eSsdeWravmeJdB.d J wmnatd3en jw1ittkh3 UI fnnfhirnzirtgeh navleg8evb0raat P2F.E Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name Geometric Sequences Determine if the sequence is geometric. If it is, find the common ratio. Date Period 1) 1, 6, 36, 216,... r = 6 2) 1, 1, 4, 8,... Not geometric 3) 4, 16, 36, 64,... Not geometric 4) 3, 15, 75, 375,... r = 5 5) 2, 4, 8, 16,... r 6) 1, 5, 25, 125,... r = 5 Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 7) a n = 3 n 1 First Five Terms: 1, 3, 9, 27, ) a n ( 1 n 1 4) First Five Terms: 2, 1 2, 1 8, 1 32, = ) a n = n 1 First Five Terms: 2.5, 10, 40, 160, 640 = ) a n = 4 3 n 1 First Five Terms: 4, 12, 36, 108, 324 = 8748 Given the recursive formula for a geometric sequence find the common ratio, the first five terms, and the 11) a n 2 Common Ratio: r First Five Terms: 2, 4, 8, 16, 32 2 n 1 12) a n 3 = 3 Common Ratio: r = 3 First Five Terms: 3, 9, 27, 81, 243 = 3 ( 3) n 1 13) a n 3 Common Ratio: r = 3 14) a n 5 First Five Terms: 4, 12, 36, 108, 324 a 3 n 1 1 Common Ratio: r = 5 First Five Terms: 2, 10, 50, 250, n 1

5 -2- n I2Z0T1h1P gk8uvtfav tsxowfvtcwzahryew 0LuLzCR.w 2 uanlflm troi4grh4tjs1 HrKeHsceurcvPeBds.F 7 5MbaidWeP 3wiiVt8hi nigndfvi1nnift0e1 ea7lxg9etb5rka3 42L.0 Worksheet by Kuta Software LLC Given the first term and the common ratio of a geometric sequence find the first five terms and the 15) = 0.8, r = 5 First Five Terms: 0.8, 4, 20, 100, 500 = 0.8 ( 5) n 1 17) = 1, r = 1 2 First Five Terms: 1, 1 2, 1 4, 1 8, 1 16 = ( 1 n 1 2) 16) = 1, r First Five Terms: 1, 2, 4, 8, 16 n 1 18), r = 3 First Five Terms: 2, 6, 18, 54, 162 ( 3) n 1 Given the first term and the common ratio of a geometric sequence find the recursive formula and the three terms in the sequence after the last one given. 19) = 4, r = 6 Next 3 terms: 24, 144, 864 = 4 21), r = 6 Next 3 terms: 12, 72, ), r = 6 Next 3 terms: 24, 144, ) = 4, r Next 3 terms: 16, 64, = 4 Given a term in a geometric sequence and the common ratio find the first five terms, the explicit formula, and the recursive formula. 23) a 2 = 3, r First Five Terms: 1.5, 3, 6, 12, 24 = n 1 2 = ) a 5 = 16 27, r 3 First Five Terms: 3, 2, 4 3, 8 9, = 3 ( 2 n 1 3) 2 3 = 3

6 -3- z u2b0p1n1e FKiu2t6ay zsfo7fqtbwlasrkem qlcl2cm.k H TAflMlq kr4i5gqhftys7 crvezskedrbvoe6da.h t 9MaaFdMen qwlibtmhf 5ITn5fWiJnzidtQeY xakl3goenburoad 22k.8 Worksheet by Kuta Software LLC 25) a 4 5, r = 5 26), r = 5 First Five Terms: 0.2, 1, 5, 25, 125 = 0.2 ( 5) n 1 5 = 0.2 First Five Terms: 4, 20, 100, 500, n 1 5 Given two terms in a geometric sequence find the 8th term and the recursive formula. 27) a 4 = 12 and a 5 = 6 = = 96 29) a 2 = 1 3 and = 1 = ) a 5 = 768 and a 2 = = 3 30) a 5 = 3888 and a 3 = 108 = = = 1 Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com