1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter12: Sequences, Series And Binomial Theorem
12.1 Sequences 12.2 Arithmetic Sequences 12.3 Geometric Sequences And Series 12.4 Binomial Theorem Chapter Questions Section12.1: Sequences
Problem 12.1TI: Write the first five terms of the sequence whose general term is an=3n4. Problem 12.2TI: Write the first five terms of the sequence whose general term is an=2n5. Problem 12.3TI: Write the first five terms of the sequence whose general term is an=3n+4. Problem 12.4TI: Write the first five terms of the sequence whose general term is an=2n5. Problem 12.5TI: Write the first five terms of the sequence whose general term is an=(1)nn2. Problem 12.6TI: Write the first five terms of the sequence whose general term is an=(1)n+1n3. Problem 12.7TI: Find a general term for the sequence whose first five terms are shown. 3, 6, 9, 12, 15, … Problem 12.8TI: Find a general term for the sequence whose first five terms are shown. 5, 10, 15, 20, 25, … Problem 12.9TI: Find a general term for the sequence whose first five terms are shown. 3,9,27,81,243,.... Problem 12.10TI: Find a general term for the sequence whose first five terms are shown. 1,4,9,16,25,.... Problem 12.11TI: Find a general term for the sequence whose first five terms are shown. 12,14,18,116,132,... Problem 12.12TI: Find a general term for the sequence whose first five terms are shown. 11,14,19,116,125,... Problem 12.13TI: Write the first five terms of the sequence whose general term is an=2n!. Problem 12.14TI: Write the first five terms of the sequence whose general term is an=3n! . Problem 12.15TI: Write the first five terms of the sequence whose general term is an=(n1)!(n+1)! . Problem 12.16TI: Write the first five terms of the sequence whose general term is an=n!(n+1)!. Problem 12.17TI: Expand the partial sum and five its value: i=153i. Problem 12.18TI: Expand the partial sum and five its value: i=154i. Problem 12.19TI: Expand the partial sum and five its value: k=032k!. Problem 12.20TI: Expand the partial sum and five its value: k=033k!. Problem 12.21TI: Write each sum using summation notation: 12+14+18+116+132. Problem 12.22TI: Write each sum using summation notation: 1+14+19+116+125. Problem 12.23TI: Write each sum using summation notation: 14+916+25. Problem 12.24TI: Write each sum using summation notation: 2+46+810. Problem 1E: In the following exercises, write the first terms of the sequence whose general term is given.... Problem 2E: In the following exercises, write the first terms of the sequence whose general term is given. 2.... Problem 3E: In the following exercises, write the first terms of the sequence whose general term is given. 3.... Problem 4E: In the following exercises, write the first terms of the sequence whose general term is given. 4.... Problem 5E: 3In the following exercises, write the first terms of the sequence whose general term is given. 5.... Problem 6E: In the following exercises, write the first terms of the sequence whose general term is given. 6.... Problem 7E: In the following exercises, write the first terms of the sequence whose general term is given. 7.... Problem 8E: In the following exercises, write the first terms of the sequence whose general term is given. 8.... Problem 9E: In the following exercises, write the first terms of the sequence whose general term is given. 9.... Problem 10E: In the following exercises, write the first terms of the sequence whose general term is given. 10.... Problem 11E: In the following exercises, write the first terms of the sequence whose general term is given. 11.... Problem 12E: In the following exercises, write the first five terms of the sequence whose general term is given.... Problem 13E: In the following exercises, write the first five terms of the sequence whose general term is given.... Problem 14E: In the following exercises, write the first five terms of the sequence whose general term is given.... Problem 15E: In the following exercises, write the first five terms of the sequence whose general term is given.... Problem 16E: In the following exercises, write the first five terms of the sequence whose general term is given.... Problem 17E: In the following exercises, write the first five terms of the sequence whose general term is given.... Problem 18E: In the following exercises, write the first five terms of the sequence whose general term is given.... Problem 19E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 20E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 21E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 22E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 23E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 24E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 25E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 26E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 27E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 28E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 29E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 30E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 31E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 32E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 33E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 34E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 35E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 36E: In the following exercises, find a general term for the sequence whose first five terms are shown.... Problem 37E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 38E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 39E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 40E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 41E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 42E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 43E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 44E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 45E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 46E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 47E: In the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 48E: the following exercises, using factorial notation, write the first terms of the sequence whose... Problem 49E: In the following exercises, expand the partial sum and find its value. 49. i=15i2 Problem 50E: In the following exercises, expand the partial sum and find its value. 50. i=15i3 Problem 51E: In the following exercises, expand the partial sum and find its value. 51. i=16(2i+3) Problem 52E: In the following exercises, expand the partial sum and find its value. 52. i=16(3i2) Problem 53E: In the following exercises, expand the partial sum and find its value. 53. i=142i Problem 54E: In the following exercises, expand the partial sum and find its value. 54. i=143i Problem 55E: In the following exercises, expand the partial sum and find its value. 55. k=034k! Problem 56E: In the following exercises, expand the partial sum and find its value. 56. k=041k! Problem 57E: In the following exercises, expand the partial sum and find its value. 57. k=15k(k+1) Problem 58E: In the following exercises, expand the partial sum and find its value. 58. k=15k(2k3) Problem 59E: In the following exercises, expand the partial sum and find its value. 59. n=15nn+1 Problem 60E: In the following exercises, expand the partial sum and find its value. 60. n=14nn+2 Problem 61E: In the following exercises, write each sum using summation notation. 61. 13+19+127+181+1243 Problem 62E: In the following exercises, write each sum using summation notation. 62. 14+116+164+1256 Problem 63E: In the following exercises, write each sum using summation notation. 63. 1+18+127+164+1125 Problem 64E: In the following exercises, write each sum using summation notation. 64. 15+125+1125+1625 Problem 65E: In the following exercises, write each sum using summation notation. 65. 2+1+23+12+25 Problem 66E: In the following exercises, write each sum using summation notation. 66. 3+32+1+34+35+12 Problem 67E: In the following exercises, write each sum using summation notation. 67. 36+912+15 Problem 68E: In the following exercises, write each sum using summation notation. 68. 5+1015+2025 Problem 69E: In the following exercises, write each sum using summation notation. 69. 2+46+810+...+20 Problem 70E: In the following exercises, write each sum using summation notation. 70. 13+57+9+...+21 Problem 71E: In the following exercises, write each sum using summation notation. 71. 14+16+18+20+22+24+26 Problem 72E: In the following exercises, write each sum using summation notation. 72. 9+11+13+15+17+19+21 Problem 73E: In your own words, explain how to write the terms of a sequence when you know the formula. Show an... Problem 74E: Which terms of the sequence are negative when the nth term of the sequence is an=(1)n(n+2)? Problem 75E: In your own words, explain what is meant by n! Show some examples to illustrate your explanation. Problem 76E: Explain what each part of the notation k=1122k means. Problem 12.10TI: Find a general term for the sequence whose first five terms are shown. 1,4,9,16,25,....
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unit is sequences and series: arithmetic sequences/series, geometric sequences/series, binomial expansions including pascals triangles
Transcribed Image Text: 3. Determine the general term, tn, for the following sequence. Show your steps.
8, 20, 36, 56
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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