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Questions and Answers of College Algebra

In Problems 39–56, find each sum. 2 + 4 + 6 + + 2n
In Problems 39–56, find each sum. 1+ 3 + 5++ (2n-1)
In Problems 27–34, the given pattern continues. Write down the nth term of a sequence {an} suggested by the pattern. 2, -4, 6, 8, 10, ...
In Problems 27–34, the given pattern continues. Write down the nth term of a sequence {an} suggested by the pattern. 1, 2, 3, 4, 5, -6, ...
In Problems 27–34, the given pattern continues. Write down the nth term of a sequence {an} suggested by the pattern. 2 1 1 ,3,-, 5, 7 6 ....:ܐ 8
In Problems 35–48, a sequence is defined recursively. List the first five terms.a1 = -1; a2 = 1; an = an-2 + nan-1
In Problems 25–30, find the indicated term in each arithmetic sequence. rm of 2√5,4V5,6√5, ...
In Problems 25–30, find the indicated term in each arithmetic sequence. 2,5/1,3,7/ ... 80th term of 2,5
In Problems 35–48, a sequence is defined recursively. List the first five terms.a1 = 4; an = 3an-1
In Problems 15–26, list the first five terms of each sequence. {an} 3n п
In Problems 25–30, find the indicated term in each arithmetic sequence.80th term of 5, 0, -5, ...
In Problems 15–26, list the first five terms of each sequence. {en} || 2n
In Problems 25–30, find the indicated term in each arithmetic sequence.90th term of 3, -3, -9, ...
In Problems 25–30, find the indicated term in each arithmetic sequence.80th term of -1, 1, 3, ...
In Problems 15–26, list the first five terms of each sequence. {n} {3}
In Problems 25–30, find the indicated term in each arithmetic sequence.100th term of 2, 4, 6, . . .
In Problems 17–24, find the nth term of the arithmetic sequence {an} whose first term a1 and common difference d are given. What is the 51st term? a₁ = 0; d = 17
In Problems 15–26, list the first five terms of each sequence. {tn} (-1)" (n+1)(n+2) }
In Problems 17–24, find the nth term of the arithmetic sequence {an} whose first term a1 and common difference d are given. What is the 51st term? a₁ = √2; d = a1 V2
In Problems 15–26, list the first five terms of each sequence. {$n} = {({})"}
In Problems 17–24, find the nth term of the arithmetic sequence {an} whose first term a1 and common difference d are given. What is the 51st term? a₁ = 1; d = 1 3
In Problems 15–26, list the first five terms of each sequence. {bn} [2n + 1) 2n
In Problems 15–26, list the first five terms of each sequence. {dn} = {(-1)²-¹(22²-1)} n
In Problems 15–26, list the first five terms of each sequence. {n} = {(-1)"+¹ n²}
In Problems 7–16, show that each sequence is arithmetic. Find the common difference, and list the first four terms. {$n} = {en}
In Problems 15–26, list the first five terms of each sequence. {an} { n n+2)
In Problems 15–26, list the first five terms of each sequence. {I +₂u} = {"s}
In Problems 9–14, evaluate each factorial expression. 5! 8! 3!
In Problems 15–26, list the first five terms of each sequence. {$n} = {n}
In Problems 7–16, show that each sequence is arithmetic. Find the common difference, and list the first four terms. {$n} = = {In 3"}
In Problems 7–16, show that each sequence is arithmetic. Find the common difference, and list the first four terms. {tn}
In Problems 9–14, evaluate each factorial expression. 12! 10!
In Problems 9–14, evaluate each factorial expression. 4! 11! 7!
In Problems 7–16, show that each sequence is arithmetic. Find the common difference, and list the first four terms. - {슴-"} 1 3
In Problems 17–24, find the nth term of the arithmetic sequence {an} whose first term a1 and common difference d are given. What is the 51st term?a1 = 8; d = -7
In Problems 15–26, list the first five terms of each sequence. {$n} 3″ 2 + 3
In Problems 9–14, evaluate each factorial expression. 9! 6!
True or False If n ≥ 2 is an integer, then n! = n(n-1) 3.2.1 .
In Problems 20–25, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. x - 2x + y y - z- z 1 3 t = y z + 2t = x - 2y 2z 3t = 0 3x - 4y + z +
In Problems 1–6, solve each equation. V3x + 1 = 4
In Problems 9–14, evaluate each factorial expression.9!
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. (2x - y = 5 5x + 2y =
In Problems 9–14, evaluate each factorial expression.10!
If an = -2n + 7 is the nth term of an arithmetic sequence, the first term is _____.(a) -2 (b) 0 (c) 5 (d) 7
The sequence a1 = 5, an = 3an-1 is an is an example of a(n)________ sequence.(a) Alternating (b) Recursive (c) Fibonacci (d) Summation
In Problems 1–6, solve each equation. 2x2 - x = 0
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. 3x - 4y = 4 x -
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. - x - 2y = 4 = 0 3x +
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. fy = = 2x - 5 x x =
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. [2x + 3y 13 = 0 - 3x
In Problems 1–6, solve each equation. log3(x - 1) + log3(2x + 1) = 2
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. X 1 -X 2 | 3y + 4 =
Write the system of equations corresponding to the augmented matrix: 3 24 108 -2 1 3 -6 2 3-11
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. 2x - 4y + z = -15 4z
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. (2x + 5y = 10 4x + 10y
In Problems 7–10, use the matrices below to compute each expression.2A + C 1 A = 0 3 -1 -4 2 B = 1c-[i C = 1-2 5 31 4 6 1 -3 8
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. x + 2y - z = 6 2x - y +
In Problems 1–6, solve each equation. 2x3 - 3x2 - 8x - 3 = 0
In Problems 7–10, use the matrices below to compute each expression.A - 3C 1-2 5 -61-03-0 -4 B = A = 2 4 C = 1 -1 6 -3 8
Graph the equation: y + 4 = x2
In Problems 1–6, solve each equation. 3x = 9x+1
In Problems 7–10, use the matrices below to compute each expression.BA A = 1 0 3 -1 -4 2 B = [B 0 1-25 3 1 C: [ - 4 6 1-3 8 -1
In Problems 7–10, use the matrices below to compute each expression.CB A = 1 0 3 -1 - 4 2 -C 0 B = 1 -2 5 3 31 C = 4 6 1-3 8 -1
In Problems 1–10, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. 15 x - 4y + 3z = -3x +
In Problems 1–6, solve each equation. 3x = e
In Problems 11 and 12, write the system of equations that corresponds to the given augmented matrix. 1 2 5 5 0-3 2 -1 0 -2 8 0
In Problems 13–16, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. (6x + 3y = 12 12x y = -2
In Problems 11 and 12, write the system of equations that corresponds to the given augmented matrix. 3 2 1 4 8 -1
In Problems 11 and 12, find the inverse of each nonsingular matrix. A = [3 3 2 5 4
In Problems 13–16, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. x + 2y + 4z = -3 2x + 7y + 15z = -12 4x + 7y + 13z -10
In Problems 11 and 12, find the inverse of each nonsingular matrix. 1 B = 2 2 -1 1 5-1 0 53 3
In Problems 13–16, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. 1 x+ = 7 4 .8x + 2y = 56
In Problems 13–16, use the following matrices to compute each expression. BC A= || 1 0 24 -1 2 4-3 B-[19] 0 -2 3 C = 1 5 -4 - 52
In Problems 13–16, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. 5 2x + 2y3z = y + 2z = 3x + 5y8z = -2 58
In Problems 17 and 18, find the value of each determinant. -2 5 3 7
In Problems 17 and 18, find the value of each determinant. 2 1 - 1 -4 42 2 0 -4
In Problems 20–25, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. 3x - 2y = 1 10x + 10y = 5
In Problems 21 and 22, solve each system of equations. [3x² + y² = 12 y² = 9x
In Problems 20–25, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. 5x - бу - 3z = 6 4x - 7y - 2z = -3 3x + y - 7z у = 1
In Problems 20–25, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. 2x + y + z = 5 4xy 3z1 8x + y z = 5
In Problems 20–25, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. x = 2z = 1 2x + 3y = -3 3 4x - 3y - 4z
In Problems 21 and 22, solve each system of equations. [2² - 3x² = 5 y = x = 1
In Problems 24 and 25, find the partial fraction decomposition of each rational expression. 3x + 7 (x + 3)²
In Problems 20–25, solve each system of equations using matrices. If the system has no solution, state that it is inconsistent. x = y + z = 0 - y5z - 60 2x2y+z1 = 0
In Problems 24 and 25, find the partial fraction decomposition of each rational expression. 4x²3 2 x(x² + 3) ²
In Problems 26–28, find the value of each determinant. 4 1 3
In Problems 34–38, find the partial fraction decomposition of each rational expression. 6 x(x − 4)
In Problems 26–28, find the value of each determinant. 21 5 0 26 -3 1 0
In Problems 26–28, find the value of each determinant. 14 C 0 -1 2 6 4 1 3
In Problems 39–43, solve each system of equations. 2x + y + 3 = 0 x² + y² = 5
In Problems 34–38, find the partial fraction decomposition of each rational expression. X (x² + 9) (x + 1)
In Problems 34–38, find the partial fraction decomposition of each rational expression. x-4 x²(x - 1)
In Problems 34–38, find the partial fraction decomposition of each rational expression. x² (x² + 1)(x² - 1)
In Problems 34–38, find the partial fraction decomposition of each rational expression. +³ (x²+4)² 2
In Problems 39–43, solve each system of equations. [x2 + y2 = бу : - x² = 3у -
In Problems 39–43, solve each system of equations. x² 3x + y² + y = -2 +² y X + y + 1 = 0
In Problems 39–43, solve each system of equations. = 2xy + y2 = 10 3у² - ху = 2
In Problems 46–48, graph each system of inequalities. State whether the graph is bounded or unbounded, and label the corner points. -2x + y ≤ 2 x + y = 2
In Problems 46–48, graph each system of inequalities. State whether the graph is bounded or unbounded, and label the corner points. x ≥ 0 y≥0 x + y ≤ 4 2x + 3y ≤ 6
In Problems 39–43, solve each system of equations. [3x² + 4xy + 5y² = 8 x² + 3xy + 2y² = 0

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