(a) Find a formula for the general term an of the sequence 8 3 4 4' 9 - } assuming that the pattern of the first few terms continues. (b) Find the limit of the sequence 2πη2 + en 3n² - ле - 5 6 16 25 + 3n (-1)³n 3n } if it converges. Otherwise, state that the sequence diverges. (c) Find the limit of the sequence {In(5n³ − n + 1) − In(7n³ − n + 1)} - if it converges. Otherwise, state that the sequence diverges. (d) Find the limit of the sequence In(3n²) In(8m) } if it converges. Otherwise, state that the sequence diverges.
(a) Find a formula for the general term an of the sequence 8 3 4 4' 9 - } assuming that the pattern of the first few terms continues. (b) Find the limit of the sequence 2πη2 + en 3n² - ле - 5 6 16 25 + 3n (-1)³n 3n } if it converges. Otherwise, state that the sequence diverges. (c) Find the limit of the sequence {In(5n³ − n + 1) − In(7n³ − n + 1)} - if it converges. Otherwise, state that the sequence diverges. (d) Find the limit of the sequence In(3n²) In(8m) } if it converges. Otherwise, state that the sequence diverges.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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