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(a) For the sequence above, what will the closed formula for an look like? Circle one of the choices below. All letters other than n are constants (which you do NOT need to find). A. an²+bn+c B. an³ + bn²+ cn+d C. arn+b D. art + br (b) Write down the system of equations you would need to solve in order to find the constants in the closed formula for an. Do not find the constants, just show how

(a) For the sequence above, what will the closed formula for an look like? Circle one of the choices below. All letters other than n are constants (which you do NOT need to find). A. an²+bn+c B. an³ + bn²+ cn+d C. arn+b D. art + br (b) Write down the system of equations you would need to solve in order to find the constants in the closed formula for an. Do not find the constants, just show how

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the sequence \((a_n)_{n>0}\) which starts \(2, 6, 11, 23, 48, 92, 161, 261, \ldots\).
Transcribed Image Text:Consider the sequence \((a_n)_{n>0}\) which starts \(2, 6, 11, 23, 48, 92, 161, 261, \ldots\).
(a) For the sequence above, what will the closed formula for \( a_n \) look like? Circle one of the choices below. All letters other than \( n \) are constants (which you do NOT need to find). A. \( an^2 + bn + c \) B. \( an^3 + bn^2 + cn + d \) C. \( ar^n + b \) D. \( ar_1^n + br_2^n \) (b) Write down the system of equations you would need to solve in order to find the constants in the closed formula for \( a_n \). *Do not find the constants,* just show how you would set it up.
Transcribed Image Text:(a) For the sequence above, what will the closed formula for \( a_n \) look like? Circle one of the choices below. All letters other than \( n \) are constants (which you do NOT need to find). A. \( an^2 + bn + c \) B. \( an^3 + bn^2 + cn + d \) C. \( ar^n + b \) D. \( ar_1^n + br_2^n \) (b) Write down the system of equations you would need to solve in order to find the constants in the closed formula for \( a_n \). *Do not find the constants,* just show how you would set it up.
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