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Name: 2. Find the limit of the following sequences or determine that the se
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Description: 2. Find the limit of the following sequences or determine that the sequence diverges.For credit, justify your answer.2n3 +n» {а)n34 S(-1)"nb)n2 +1

Math

Calculus

2. Find the limit of the following sequences or determine that the sequence diverges. For credit, justify your answer. ( 2n3 +n а) n³ { 4 | |(-1)"n` b) n2 +1

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section12.1: Sequences

Problem 12.8TI: Find a general term for the sequence whose first five terms are shown. 5, 10, 15, 20, 25, …

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Find a general term for the sequence whose first five terms are shown. 5, 10, 15, 20, 25, …
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Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 66. List the first six terms of the sequence an=n!n
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