Understanding Geometric Sequences and Series: Key Concepts and
School
Troy University, Troy**We aren't endorsed by this school
Course
MTH 1112
Subject
Mathematics
Date
Dec 12, 2024
Pages
1
Uploaded by SuperHumanFlower13831
Name: Date: School: Facilitator: 9.08 Geometric Sequences and Series1. Determine if the sequence is geometric. If it is, find the common ratio.a) -3, -15, -75, -375, … 5b) -1, 1, 4, 8, … not a geometric sequencec) 1, -5, 25, -125, … -52. Given the following explicit formula for a geometric sequencean=−4(3)n−1What is the 1stterm? -4What is the ratio? 3What is the 9thterm? -26,2443. Given the sequence 2, 12, 72, 432, … find the explicit formula and the value of the 9thterm.Explicit Formula 9thterm 3,359,2324. Evaluate the geometric series ∑n=175(4)n−1What is the value of a?5What is the ratio? 4What is the value of n? 7What is the sum? 27,3055. Find the number of terms in the geometric series described.-4 + 16 – 64 + 256 … Sn= 52428What is the value of a?-4What is the ratio? -4What is the sum? 52,428What is the value of n? 86. Find the sum of the geometric series 1 + 0.5 + 0.25 + 0.125 … if possible.What is the sum?27. Find the sum of the geometric series ∑n=1∞6(12)n−1if possible.What is the sum? not possible
