1.Let a, = (-1)" +, vn 2 1. Which of the statements below is/are true?I: Ja,|s 2, Vn 2 1II: lim,-o sup amn = 1 and lim,-- inf a, = -1III: a, is a convergent sequence.A. I and II onlyВ. Г onlyС.П onlyD. I, II and IIIE. None of the above.

Name: 1.Let a, = (-1)" +, vn 2 1. Which of the statements below is/are true
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Description: 1.Let a, = (-1)" +, vn 2 1. Which of the statements below is/are true?I: Ja,|s 2, Vn 2 1II: lim,-o sup amn = 1 and lim,-- inf a, = -1III: a, is a convergent sequence.A. I and II onlyВ. Г onlyС.П onlyD. I, II and IIIE. None of the above.

There are two properties for a sequence to be convergent, and they are as follows: Monotonicity…

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Let a, = (-1)" + -, vn 2 1. Which of the statements below is/are true? I: Ja,|S 2, Vn 2 1 II: lim,- sup a, = 1 and lim,-o inf a„ = -1 III: a, is a convergent sequence. A. I and II only B. I only C. II only D. I, II and II E. None of the above.

Let a, = (-1)" + -, vn 2 1. Which of the statements below is/are true? I: Ja,|S 2, Vn 2 1 II: lim,- sup a, = 1 and lim,-o inf a„ = -1 III: a, is a convergent sequence. A. I and II only B. I only C. II only D. I, II and II E. None of the above.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 48E

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Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a conjecture about the relationship between these two sequences.
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. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)
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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