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a. a₁ = 1, a2 = 2, an=2an 1+3an 2

a. a₁ = 1, a2 = 2, an=2an 1+3an 2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 4: Find \( a_3 \), \( a_4 \), and \( a_5 \) of the sequences.** **a. Given:** - \( a_1 = 1 \) - \( a_2 = 2 \) - Recursive formula: \( a_n = 2a_{n-1} + 3a_{n-2} \) **b. Sequence formula:** - General term: \[ a_n = (n+1) + (n+2) + (n+3) + \cdots + (3n) \] (Note: For part (b), the summation starts at \( n+1 \) and ends at \( 3n \).)
Transcribed Image Text:**Problem 4: Find \( a_3 \), \( a_4 \), and \( a_5 \) of the sequences.** **a. Given:** - \( a_1 = 1 \) - \( a_2 = 2 \) - Recursive formula: \( a_n = 2a_{n-1} + 3a_{n-2} \) **b. Sequence formula:** - General term: \[ a_n = (n+1) + (n+2) + (n+3) + \cdots + (3n) \] (Note: For part (b), the summation starts at \( n+1 \) and ends at \( 3n \).)
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