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The sequence with a₁ = 1 and recurrence relation an =an-1 + (2n + 5) generates these first few entries: 1, 10, 21, 34, 49, ... Find a closed formula for an. an (n+3)² - 15

The sequence with a₁ = 1 and recurrence relation an =an-1 + (2n + 5) generates these first few entries: 1, 10, 21, 34, 49, ... Find a closed formula for an. an (n+3)² - 15

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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The sequence with \( a_1 = 1 \) and recurrence relation \( a_n = a_{n-1} + (2n + 5) \) generates these first few entries: 1, 10, 21, 34, 49, ... Find a closed formula for \( a_n \). \[ a_n = (n + 3)^2 - 15 \]
Transcribed Image Text:The sequence with \( a_1 = 1 \) and recurrence relation \( a_n = a_{n-1} + (2n + 5) \) generates these first few entries: 1, 10, 21, 34, 49, ... Find a closed formula for \( a_n \). \[ a_n = (n + 3)^2 - 15 \]
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