Geometric Sequences, Assignments of Algebra

Download Geometric Sequences and more Assignments Algebra in PDF only on Docsity! ©v J22071a2k QKPu1t5av 0Smo4fFtJwyaErgej NL6LUC2.a 7 A AlFlh srpiXgUhatrs2 qrdeMsmegrgvxeldk.p f IMoajd4e1 ywniHtghh AIjnSf4iUni QtOeT GAElLgyeabqrla3 B2Y.5 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name___________________________________ Period____Date________________Geometric Sequences 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 = 2 ⋅ (1 4) n − 1 9) a n = −2.5 ⋅ 4 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 explicit formula. 11) a n = a n − 1 ⋅ 2 a 1 = 2 12) a n = a n − 1 ⋅ −3 a 1 = −3 13) a n = a n − 1 ⋅ 5 a 1 = 2 14) a n = a n − 1 ⋅ 3 a 1 = −3 -1- ©L E2u0Z172t GKIuhtwaJ 1So KfqtRwlaorte9 oL6LqC7.c x 4ATlYlv jrhizgThUtRsP 7r6egs6eArSvXepdR.t L wM1aDdHen aw2i8tRhw DI0nafoi9nIiwtzeW aAelRgJekbcrua1 O25.Y Worksheet by Kuta Software LLC Given the first term and the common ratio of a geometric sequence find the first five terms and the explicit formula. 15) a 1 = 0.8, r = −5 16) a 1 = 1, r = 2 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. 17) a 1 = −4, r = 6 18) a 1 = 4, r = 6 19) a 1 = 2, r = 6 20) a 1 = −4, r = 4 Given a term in a geometric sequence and the common ratio find the first five terms, the explicit formula, and the recursive formula. 21) a 4 = 25, r = −5 22) a 1 = 4, r = 5 Given two terms in a geometric sequence find the 8th term and the recursive formula. 23) a 4 = −12 and a 5 = −6 24) a 5 = 768 and a 2 = 12 25) a 1 = −2 and a 5 = −512 26) a 5 = 3888 and a 3 = 108 -2-