Use a graphing utility to graph the first 10 terms of the sequence with the given nth term. 5n+ 2 n a n Use the graph to make an inference about the convergence or divergence of the sequence. O The sequence converges. O The sequence diverges. Verify your inference analytically and, if the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use a graphing utility to graph the first 10 terms of the sequence with the given nth term.
5n+ 2
an
=
n
Use the graph to make an inference about the convergence or divergence of the sequence.
The sequence converges.
The sequence diverges.
Verify your inference analytically and, if the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.)
Transcribed Image Text:Use a graphing utility to graph the first 10 terms of the sequence with the given nth term. 5n+ 2 an = n Use the graph to make an inference about the convergence or divergence of the sequence. The sequence converges. The sequence diverges. Verify your inference analytically and, if the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.)
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