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Write the first five terms of the sequence: +o0 {vn² + 2n – n}, Determine whether the sequence converges, and if so find its limit. If the sequence diverges, indicate that using the checkbox. NOTE: Enter exact answers. a1 a2 = lim (Vn2 + 2n – n) - n→+00 Az = The sequence diverges A5 = || ||

Write the first five terms of the sequence: +o0 {vn² + 2n – n}, Determine whether the sequence converges, and if so find its limit. If the sequence diverges, indicate that using the checkbox. NOTE: Enter exact answers. a1 a2 = lim (Vn2 + 2n – n) - n→+00 Az = The sequence diverges A5 = || ||

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 1E
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Write the first five terms of the sequence: +o0 {Vn² + 2n – n}, Determine whether the sequence converges, and if so find its limit. If the sequence diverges, indicate that using the checkbox. NOTE: Enter exact answers. a2 lim (Vn2 + 2n – n) az = The sequence diverges A5 = || ||
Transcribed Image Text:Write the first five terms of the sequence: +o0 {Vn² + 2n – n}, Determine whether the sequence converges, and if so find its limit. If the sequence diverges, indicate that using the checkbox. NOTE: Enter exact answers. a2 lim (Vn2 + 2n – n) az = The sequence diverges A5 = || ||
Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing. ( +00 12n + 2) n=l An+1 - an = 2 (12n – 2)(12n – ; strictly decreasing - 14)' 12 ; strictly increasing (12n + 2)(12n + 14) 2 strictly increasing (12n + 2)(12n+ 14) 2 ; strictly decreasing (12n + 2)(12n + 14)' 2 strictly increasing (12n – 2)(12n + 14)'
Transcribed Image Text:Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing. ( +00 12n + 2) n=l An+1 - an = 2 (12n – 2)(12n – ; strictly decreasing - 14)' 12 ; strictly increasing (12n + 2)(12n + 14) 2 strictly increasing (12n + 2)(12n+ 14) 2 ; strictly decreasing (12n + 2)(12n + 14)' 2 strictly increasing (12n – 2)(12n + 14)'
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