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(4) Find the sum of the sequence in (2) to an infinite number of terms.

(4) Find the sum of the sequence in (2) to an infinite number of terms.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 16E
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(1) You solve a system of three equations with three variables and obtain 0 = 1. With regard to the system, indicate true or false. (a) The graphs intersect in a plane or in a line. (b) The algebra yielded an identity. (c) The algebra yielded a contradiction. (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320, ... (3) Write the equations for the sequence in (2) in explicit and recursive forms. (4) Find the sum of the sequence in (2) to an infinite number of terms. (5) Find write the equations for the sequence in explicit and recursive forms for 10, 18, 26, 34, 42, .... (6) Find the 16h term and the sum to 16 terms of the sequence in (5).
Transcribed Image Text:(1) You solve a system of three equations with three variables and obtain 0 = 1. With regard to the system, indicate true or false. (a) The graphs intersect in a plane or in a line. (b) The algebra yielded an identity. (c) The algebra yielded a contradiction. (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320, ... (3) Write the equations for the sequence in (2) in explicit and recursive forms. (4) Find the sum of the sequence in (2) to an infinite number of terms. (5) Find write the equations for the sequence in explicit and recursive forms for 10, 18, 26, 34, 42, .... (6) Find the 16h term and the sum to 16 terms of the sequence in (5).
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