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Determine whether the series a₁ = 5, an+1 = n n a 12 n given but the recursion formula converges or dive

Determine whether the series a₁ = 5, an+1 = n n a 12 n given but the recursion formula converges or dive

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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Question
**Determine whether the series** \[ \sum_{n=1}^{\infty} a_n \] **given by the recursion formula converges or diverges** \[ a_1 = 5, \] \[ a_{n+1} = \frac{\sqrt[n]{n}}{2} a_n \]
Transcribed Image Text:**Determine whether the series** \[ \sum_{n=1}^{\infty} a_n \] **given by the recursion formula converges or diverges** \[ a_1 = 5, \] \[ a_{n+1} = \frac{\sqrt[n]{n}}{2} a_n \]
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