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mathematics
college mathematics for business economics

Questions and Answers of College Mathematics For Business Economics

In Problems 11–16, write each series in expanded form without summation notation, and evaluate. k=1
In Problems 1–20, evaluate each expression. 52! 50!2!
In Problems 11–16, write each series in expanded form without summation notation, and evaluate. 5 ΣΚ k=1
Let a1, a2, a3, ..., an, ... be an arithmetic sequence. In Problems 9–14, find the indicated quantities. a₁ = 18; 920 75; S20 ?
In Problems 1–20, evaluate each expression. 5C3
In Problems 11–16, write each series in expanded form without summation notation, and evaluate. 7 Σ (2k – 3) k=4
In Problems 1–20, evaluate each expression. 7C3
In Problems 11–16, write each series in expanded form without summation notation, and evaluate. 4 Σ(-2)* k=0
In Problems 1–20, evaluate each expression. 6C5
In Problems 1–20, evaluate each expression. 7C4
In Problems 11–16, write each series in expanded form without summation notation, and evaluate. 12k k=1
In Problems 1–20, evaluate each expression. 5Co
Find the arithmetic mean of each list of numbers in Problems 17–20. 5, 4, 2, 1, and 6
In Problems 1–20, evaluate each expression.5C5
Find the arithmetic mean of each list of numbers in Problems 17–20. 7, 9, 9, 2, and 4
In Problems 1–20, evaluate each expression. 18C15
Let a1, a2, a3, ..., an, ... be a geometric sequence. In Problems 15-24, find the indicated quantities.a1 = 100; r 1.08; a10 = ?
In Problems 1–20, evaluate each expression. 18 C3
Find the arithmetic mean of each list of numbers in Problems 17–20.96, 65, 82, 74, 91, 88, 87, 91, 77, and 74
Let a1, a2, a3, ..., an, ... be a geometric sequence. In Problems 15-24, find the indicated quantities.a1 = 240; r = 1.06; a12 = ?
Find the arithmetic mean of each list of numbers in Problems 17–20. 100, 62, 95, 91, 82, 87, 70, 75, 87, and 82
Write the first five terms of each sequence in Problems 21–26. an || (-1)"+1 2"
Let a1, a2, a3, ..., an, ... be a geometric sequence. In Problems 15-24, find the indicated quantities.a1 = 100; a9 = 200; r = ?
Find the indicated term in each expansion in Problems 27–32. (x - 1)¹8; 5th term
Let a1, a2, a3, ..., an, ... be a geometric sequence. In Problems 15-24, find the indicated quantities.a1 = 100; a10 = 300; r = ?
Find the indicated term in each expansion in Problems 27–32. 15. (p + q) ¹5; 7th term
Find the indicated term in each expansion in Problems 27–32. (x - 3)20; 3rd term
Find the indicated term in each expansion in Problems 27–32. (p+q) ¹5; 13th term
The triangle next is called Pascal’s triangle. Can you guess what the next two rows at the bottom are? Compare these numbers with the coefficients of binomial expansions.
Find only real solutions in the problems below. If there are no real solutions, say so. Solve Problems 1–4 by the square-root method. 2x2 - 22 = 0
Find only real solutions in the problems below. If there are no real solutions, say so. Solve Problems 1–4 by the square-root method. (3x-1)2 = 25
Solve Problems 13–30 by using any method. 2x² 3 5x
Find only real solutions in the problems below. If there are no real solutions, say so. Solve Problems 1–4 by the square-root method. 3m2 - 21 = 0
Find only real solutions in the problems below. If there are no real solutions, say so. Solve Problems 1–4 by the square-root method.(2x + 1)2 = 16
Solve Problems 13–30 by using any method. x2 3 4
Solve Problems 13–30 by using any method.4u2 - 9 = 0
In Problems 41–48, multiply, and express answers using positive exponents only. 2m¹/3 (3m²/3-mº)
In Problems 31–38, factor, if possible, as the product of two firstdegree polynomials with integer coefficients. Use the quadratic formula and the factor theorem. 2x2 + 15x - 108
In Problems 41–48, multiply, and express answers using positive exponents only. (2x - 3y¹/3) (2x¹/3 + 1)
In Problems 43–48, find all real solutions. x3 - 8 = 0
Write each expression in Problems 49–54 in the form axp + bxq , where a and b are real numbers and p and q are rational numbers. x² - 4√x 2√x
Problems 59 and 60 refer to Table 1. Carry out the following computations using scientific notation, and write final answers in standard decimal form. (A) What was the per capita debt in 2012 (to
Problems 59 and 60 refer to Table 1.Carry out the following computations using scientific notation, and write final answers in standard decimal form. (A) What was the per capita debt in 2000 (to the
Problems 67–70 illustrate common errors involving rational exponents. In each case, find numerical examples that show that the left side is not always equal to the right side. (x3 +³) 1/3 x + y #
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. Vx² = x for all real numbers x
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. Vx²= |x|for all real numbers x
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. x³ = |x|for all real numbers x
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. X = x for all real numbers x
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. If r < 0, then r has no cube roots.
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. If r < 0, then r has no square roots.
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. If r> 0, then r has three cube roots.
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. If r> 0, then r has two square roots.
In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. The fourth roots of 100 are V10 and - V10.
In Problems 83–88, simplify by writing each expression as a simple or single fraction reduced to lowest terms and without negative exponents. (x + 2)2/3 - x(3) (x + 2)-1/3 (x + 2)4/3
In Problems 95 and 96, evaluate each expression on a calculator and determine which pairs have the same value. Verify these results algebraically. (A) √3+ √5 (C) 1 + √3 (E) V8+ V60 (B) V2 +
Write the first four terms for each sequence in Problems 1–6.an = 2n + 3
In Problems 3–8, determine whether the finite series is arithmetic, geometric, both, or neither. If the series is arithmetic or geometric, find its sum. 101 Σ(-1)*+1 k=1
In Problems 1–20, evaluate each expression.6!
Write the first four terms for each sequence in Problems 1–6. an n+2 n+ 1
In Problems 1–20, evaluate each expression. 10! 9!
Write the first four terms for each sequence in Problems 1–6.an = 4n - 3
In Problems 1–20, evaluate each expression.7!
In Problems 3–8, determine whether the finite series is arithmetic, geometric, both, or neither. If the series is arithmetic or geometric, find its sum. 200 Σ3 k=1
In Problems 1–20, evaluate each expression. 20! 19!
In Problems 3–8, determine whether the finite series is arithmetic, geometric, both, or neither. If the series is arithmetic or geometric, find its sum. 1 + - + 2 3 + 1 50
Write the first four terms for each sequence in Problems 1–6. an = (-3)"+1
In Problems 1–20, evaluate each expression. 12! 9!
In Problems 3–8, determine whether the finite series is arithmetic, geometric, both, or neither. If the series is arithmetic or geometric, find its sum. 3-9 + 27- 320
In Problems 1–20, evaluate each expression. 10! 6!
In Problems 3–8, determine whether the finite series is arithmetic, geometric, both, or neither. If the series is arithmetic or geometric, find its sum. 5 + 4.9 + 4.8 + +0.1
In Problems 1–20, evaluate each expression. 5! 2!3!
In Problems 1–20, evaluate each expression. 7! 3!4!
Let a1, a2, a3, ..., an, ... be an arithmetic sequence. In Problems 9–14, find the indicated quantities. a₁ = 7; d= 4; a₂ = ?; a3 = ?
In Problems 1–20, evaluate each expression. 6! 5!(6-5)!
Write the 99th term of the sequence in Problem 3.Data in Problem 3. an n + 2 n+1
Let a1, a2, a3, ..., an, ... be an arithmetic sequence. In Problems 9–14, find the indicated quantities. a₁ -2; d= -3; a₂ = 2; az = 1
In Problems 1–20, evaluate each expression. 7! 4! (7-4)!
Write the 200th term of the sequence in Problem 4. Data in Problem 4. an 2n + 1 2n
In Problems 1–20, evaluate each expression. 20! 3!17!
Write the first five terms of each sequence in Problems 21–26. an (-1)"(n-1)² =
Let a1, a2, a3, ..., an, ... be a geometric sequence. In Problems 15-24, find the indicated quantities. a₁ = 500; r = 0.6; S10 ?; S = ?
Find the sum of all the odd integers between 12 and 68.
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. 4, 8, 12, 16, ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. 1357 2, 4, 6, 8,
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms.-3, -6, -9, -12, ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. AIS ناام دنیا -12
Find the sum of each infinite geometric sequence (if it exists). (A) 2, 4, 8, ... (B) 2,-,,...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms.1, -2, 3, -4, ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms.-2, 4, -8, 16, ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms.1, -3, 5, -7, ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. 1, 5, 8 25, 125,
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms.3, -6, 9, -12, ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. 4 16 64 256 27, 81
Show that the sum of the first n odd positive integers is n2 , using appropriate formulas from this section.
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms.x, x2,x3, x4, ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. x, -x³, x², -x²,... 一
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms.1, 2x, 3x2 , 4x3 , ...
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms. X. /
Write each series in Problems 43–50 in expanded form without summation notation. Do not evaluate. 5 Σ(-1)+(2k-1)² k=1
Write each series in Problems 43–50 in expanded form without summation notation. Do not evaluate. 4 k=1 (-2)*+1 2k + 1

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