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HIGH SCHOOL WORKSHEET 2 MELC: determines geometric means, nth term of a geometric sequence and sum of the terms of a given finite or infinite geometric sequence GEOMETRIC MEANS-terms mi, m2, ..., mk between two numbers a and b such that a, m1, m2, .., my. b is a geometric sequence. GEOMETRIC SERIES - the sum of the terms in a geometric sequence Formula for finite geometric series: az (1-r") Sn = っ #1 %3D 1-r Sn naz ,r = 1 %3D SUM TO INFINITY S = , Irl < 1 1-r Find the indicated number of geometric means between each pair of numbers. [3] [2] [2] I. 1. 16 and 81 2. -32 and 4 3. 2xy and 16xy II.. For each given geometric sequence, find the sum of the first: 1. 5 terms of 4, 12, 36, 108, .. 2. 6 terms of 3,-6, 12,-24, ... III. Find the sum to infinity of each geometric sequence, if it exists. 1. 64, 16, 4, 1,.. 1 1 1 1 2. 3'9' 27'81 ! ..

HIGH SCHOOL WORKSHEET 2 MELC: determines geometric means, nth term of a geometric sequence and sum of the terms of a given finite or infinite geometric sequence GEOMETRIC MEANS-terms mi, m2, ..., mk between two numbers a and b such that a, m1, m2, .., my. b is a geometric sequence. GEOMETRIC SERIES - the sum of the terms in a geometric sequence Formula for finite geometric series: az (1-r") Sn = っ #1 %3D 1-r Sn naz ,r = 1 %3D SUM TO INFINITY S = , Irl < 1 1-r Find the indicated number of geometric means between each pair of numbers. [3] [2] [2] I. 1. 16 and 81 2. -32 and 4 3. 2xy and 16xy II.. For each given geometric sequence, find the sum of the first: 1. 5 terms of 4, 12, 36, 108, .. 2. 6 terms of 3,-6, 12,-24, ... III. Find the sum to infinity of each geometric sequence, if it exists. 1. 64, 16, 4, 1,.. 1 1 1 1 2. 3'9' 27'81 ! ..

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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HIGH SCHOOL WORKSHEET 2 MELC: determines geometric means, nth term of a geometric sequence and sum of the terms of a given finite or infinite geometric sequence GEOMETRIC MEANS-terms m1, m2, ..., mk between two numbers a and b such that a, m1, m2, ..., mr. b is a geometric sequence. GEOMETRIC SERIES - the sum of the terms in a geometric sequence Formula for finite geometric series: a1 (1-r") Sn = %3D 1-r Sn nai , r = 1 %3D SUM TO INFINITY S= , Irl < 1 1-r Find the indicated number of geometric means between each pair of numbers. [3] [2] [2] I. 1. 16 and 81 2. -32 and 4 3. 2xy and 16xy* II.. For each given geometric sequence, find the sum of the first: 1. 5 terms of 4, 12, 36, 108, .. 2. 6 terms of 3, -6, 12, -24, ... III. Find the sum to infinity of each geometric sequence, if it exists. 1. 64, 16, 4, 1,.. 1 1 1 1 2. 3'9'27'81 ! ..
Transcribed Image Text:HIGH SCHOOL WORKSHEET 2 MELC: determines geometric means, nth term of a geometric sequence and sum of the terms of a given finite or infinite geometric sequence GEOMETRIC MEANS-terms m1, m2, ..., mk between two numbers a and b such that a, m1, m2, ..., mr. b is a geometric sequence. GEOMETRIC SERIES - the sum of the terms in a geometric sequence Formula for finite geometric series: a1 (1-r") Sn = %3D 1-r Sn nai , r = 1 %3D SUM TO INFINITY S= , Irl < 1 1-r Find the indicated number of geometric means between each pair of numbers. [3] [2] [2] I. 1. 16 and 81 2. -32 and 4 3. 2xy and 16xy* II.. For each given geometric sequence, find the sum of the first: 1. 5 terms of 4, 12, 36, 108, .. 2. 6 terms of 3, -6, 12, -24, ... III. Find the sum to infinity of each geometric sequence, if it exists. 1. 64, 16, 4, 1,.. 1 1 1 1 2. 3'9'27'81 ! ..
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