Precalculus Enhanced with Graphing Utilities (7th Edition)
7th Edition
ISBN: 9780134119281
Author: Michael Sullivan, Michael Sullivan III
Publisher: PEARSON
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Chapter B, Problem 24SB
To determine
To find: Determine whether each sequence converges or diverges. If it converges, find its limit.
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1. Write the first four terms of the sequence given by
(−1)” (2n +1)² [°
22n-1 + (−1)n+¹ n=1
If it converges, find the value of its limit.
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Chapter B Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
Ch. B - If a sequence { S n } converges to L , we call L...Ch. B - If a 1 , a 2 ,..., a n ,... is some collection of...Ch. B - Prob. 3CVCh. B - Prob. 4CVCh. B - Prob. 5SBCh. B - Prob. 6SBCh. B - In Problems 5-28, determine whether each sequence...Ch. B - In Problems 5-28, determine whether each sequence...Ch. B - In Problems 5-28, determine whether each sequence...Ch. B - Prob. 10SB
Ch. B - Prob. 11SBCh. B - In Problems 5-28, determine whether each sequence...Ch. B - In Problems 5-28, determine whether each sequence...Ch. B - In Problems 5-28, determine whether each sequence...Ch. B - Prob. 15SBCh. B - Prob. 16SBCh. B - Prob. 17SBCh. B - In Problems 5-28, determine whether each sequence...Ch. B - Prob. 19SBCh. B - In Problems 5-28, determine whether each sequence...Ch. B - Prob. 21SBCh. B - Prob. 22SBCh. B - Prob. 23SBCh. B - Prob. 24SBCh. B - Prob. 25SBCh. B - Prob. 26SBCh. B - In Problems 5-28, determine whether each sequence...Ch. B - In Problems 5-28, determine whether each sequence...Ch. B - In Problems 29-32, find the first five terms in...Ch. B - In Problems 29-32, find the first five terms in...Ch. B - Prob. 31SBCh. B - In Problems 29-32, find the first five terms in...
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- A fishery manager knows that her fish population naturally increases at a rate of 1.3% per month, while 83 fish are harvested each month. Let F, be the fish population after the nth month, where F, = 4000 fish. Answer parts a-e below. a. Write out the first five terms of the sequence {Fn}. Fo = 4000 F1 = 3969 F2 = 3938 F3 = 3906 F4 = 3874 (Simplify your answers. Round to the nearest integer as needed.) b. Find a recurrence relation that generates the sequence {Fn}. Fn = 1.013F, 83 c. Does the fish population decrease or increase? The fish population decreases. d. Determine whether the fish population decreases or increases in the long run if the initial population is 5700 fish. The fish population decreases in the long run if the initial population is 5700 fish. e. Determine the initial population Fo below which the population decreases. The initial population Fo below which the population decreases is 6385 fish. (Round up to the nearest whole number.)arrow_forwardAnswer the following problems directly. 1-Let F(n) be the nth term of the Fibonacci sequence, With F(1) = 1, F(2) = 1, F(3) = 2, and so on. %3D %3D 1. Find F (8) 2. Find F(19) 3. IfF (22) = 17,711 and F(24) = 46,368, %3D what is F(23)?arrow_forwardFind a closed form solution for the following recursive sequence: An = an-1+ 2" for n > 2 with the initial condition aj = 1. An =arrow_forward
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