ries diverges 23-56 Determine whether the sequence converges or If it converges, find the limit. :? ? 3 +5n2 3 5n2 24. an 23. аn +n nn2 amples. ples. n4 26. an 2(0.86)" 25. an n3 2n 3n Vn2 2ce.e 27. an 3"7 28. an tini sodT 4" 30. аn 29. а, — е 1/ 1 + 9" 4 IS tnodr sai 1 + 4n2 пт 32. an=cos 31. а, V me n + 1 1 + n2 bound n2 n3 4n e2n/(a+2) 34. an e2n/(n+2) 3. аn (-1)"1n (-1)" 36. аn 35. аn n + n 2 n boondo oto Seo SW (2n 1) 10t (2n 1)! { In n 38. 37. In 2n quence, tan n 40. аn 39. sin n} es. п In(n +1)- In n 41. {n'e"} 42. an cos'n V21+3m 44. an 43. аn 2 b 2 " cos nT 45. а, = n sin(1/n) 46. an - () n 2 1 + 47. an 48. аn n

ries diverges 23-56 Determine whether the sequence converges or If it converges, find the limit. :? ? 3 +5n2 3 5n2 24. an 23. аn +n nn2 amples. ples. n4 26. an 2(0.86)" 25. an n3 2n 3n Vn2 2ce.e 27. an 3"7 28. an tini sodT 4" 30. аn 29. а, — е 1/ 1 + 9" 4 IS tnodr sai 1 + 4n2 пт 32. an=cos 31. а, V me n + 1 1 + n2 bound n2 n3 4n e2n/(a+2) 34. an e2n/(n+2) 3. аn (-1)"1n (-1)" 36. аn 35. аn n + n 2 n boondo oto Seo SW (2n 1) 10t (2n 1)! { In n 38. 37. In 2n quence, tan n 40. аn 39. sin n} es. п In(n +1)- In n 41. {n'e"} 42. an cos'n V21+3m 44. an 43. аn 2 b 2 " cos nT 45. а, = n sin(1/n) 46. an - () n 2 1 + 47. an 48. аn n

Name: Determine whether the sequence converges or diverges. If it converges,
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Description: Determine whether the sequence converges or diverges. If it converges, find the limit.46. a sub n = (2^-n)cos n pi riesdiverges23-56 Determine whether the sequence converges orIf it converges, find the limit.:??3 +5n23 5n224. an23. аn+nnn2amples.ples

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 1E

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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
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 nthat 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. 63. List the first six terms of the sequence. an=n33.5n2+4.1n1.52.4n
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