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Questions and Answers of College Algebra

Determine an expression for the general term of each arithmetic sequence.6, 3, 0, -3, . . .
Find the indicated term for each geometric sequence. a₁ = 1, r = 3; 915
Simplify. Assume that all variables represent nonzero real numbers. (3p²)³(-2p6) 4p³ (5p7)
Find the indicated term for each sequence. an = (n + 1)(2n + 3); ag
Evaluate each expression.10C7
Write the first five terms of each sequence. 4 an = n +- n
Evaluate each expression.0!
Determine an expression for the general term of each geometric sequence. -2, 3' 2 9
Write the equation of a circle with center (-5, 12) and radius 9.
Write the first five terms of each arithmetic sequence. Ip || 3, d = 2/3
Determine whether each sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference d. If it is geometric, find the common ratio r.64, 32, 8, 1, . . .
Find the indicated term for each sequence. an -9n+ 2; ag Ag
Evaluate each expression.6C2
Solve each system of equations. y = 5x + 3 2x + 3y = -8
Evaluate each expression. 6! 4!2!
The table shows the worldwide number of electric vehicles, in thousands, in use from 2012 to 2017. To the nearest tenth, what was the average number of electric vehicles for this period?
If the given sequence is geometric, find the common ratio r. If the sequence is not geometric, say so. 5 8 11 וו 7 2,..
If the given sequence is arithmetic, find the common difference d. If the sequence is not arithmetic, say so.10, 5, 0, -5, -10, . . .
Solve each equation or inequality. 6x² + 5x = 8 |
Evaluate each sum if it exists. 6 Σ (3i – 5) i=1
If the given sequence is geometric, find the common ratio r. If the sequence is not geometric, say so. ی در این ه ای
Solve each equation or inequality. 2x² + x = 10
Write each series as a sum of terms and then find the sum. 7 i=4 i i + 1
Write the first five terms of each sequence.an = 2n
A pump removes 1/2 of the liquid in a container with each stroke. What fraction of the liquid is left in the container after seven strokes?
Evaluate each expression.9!
If the given sequence is arithmetic, find the common difference d. If the sequence is not arithmetic, say so.1, 2, 4, 7, 11, 16, . . .
Evaluate each sum if it exists. 5 Σ (2i + 8) i=1
Write the first five terms of each sequence. an || n + 2 n
Write each series as a sum of terms and then find the sum. 6 Σ 2 i=1
Solve each equation or inequality. |2x - 5 ≥ 11
Write the first five terms of each sequence.an = 3n
The school population in Middleton has been dropping 3% per yr. The current population is 50,000. If this trend continues, what will the population be in 6 yr?
Evaluate each expression.8!
If the given sequence is arithmetic, find the common difference d. If the sequence is not arithmetic, say so.2, -4, 6, -8, 10, -12, . . .
Write each series as a sum of terms and then find the sum. 4 Σ (i + 2)2 i=1
If the given sequence is geometric, find the common ratio r. If the sequence is not geometric, say so.5, 15, 45, 135, . . .
Under what conditions does an infinite geometric series have a sum?
Solve each equation or inequality. |4x3 = 21
An ordinary annuity is set up so that $672 is deposited at the end of each quarter for 7 yr. The money earns 4.5% annual interest compounded quarterly. What is the future value of the annuity?
Write the first five terms of each sequence. an n+ 3 n
Evaluate each expression.4!
If the given sequence is arithmetic, find the common difference d. If the sequence is not arithmetic, say so.2, 5, 8, 11, . . .
Solve each equation or inequality. 2x > 8 or -3x > 9
Fill in the blanks to complete the terms of each geometric sequence. -2,. -54,.
If the given sequence is geometric, find the common ratio r. If the sequence is not geometric, say so.4, 8, 16, 32, . . .
Write each series as a sum of terms and then find the sum. 6 Σ (51 – 4) - i=3
The first eight time intervals, in minutes, between eruptions of the Old Faithful geyser in Yellowstone National Park on July 19, 2018, are given here. Calculate the average number of minutes between
If $4000 is deposited in an ordinary annuity at the end of each quarter for 7 yr and earns 6% interest compounded quarterly, how much will be in the account at the end of this term?
Write the first five terms of each sequence. an = n +4
Fill in the blanks to complete the terms of each arithmetic sequence. 7,. _,-17,.
When Faith’s sled goes down the hill near her home, she covers 3 ft in the first second. Then, for each second after that, she goes 4 ft more than in the preceding second. If the distance she
Evaluate each expression.6!
Write each series as a sum of terms and then find the sum. 9 Σ (i + 1) i=1
Solve each equation or inequality. 7x + 18 ≤ 9x - 2
If the given sequence is arithmetic, find the common difference d. If the sequence is not arithmetic, say so.1, 2, 3, 4, 5, . . .
Write the first five terms of each sequence. an = n + 1
Fill in the blanks to complete the terms of each geometric sequence. 7, 28, 112
Determine an expression for the general term of each arithmetic or geometric sequence.27, 9, 3, . . .
Fill in each blank with the correct response.For any nonnegative integer n, the binomial coefficient nCn is equal to _____.
Write each series as a sum of terms and then find the sum. 5 Στ i=1
Evaluate S5 for each sequence described.geometric, with a5 = 4 and a7 = 1
Solve each equation or inequality. x + 3 12 x 3 6 = 0
Fill in the blanks to complete the terms of each arithmetic sequence. 11, 21, ,31
Fill in the blanks to complete the terms of each geometric sequence. , 1, 5, 25
Determine an expression for the general term of each arithmetic or geometric sequence.12, 9, 6, . . .
Fill in each blank with the correct response.For any nonnegative integer n, the binomial coefficient nC0 is equal to _____.
Write the first four terms of each sequence. an = n(-1)n-1
Fill in the blanks to complete the terms of each arithmetic sequence. _,1,5,9
Solve each equation or inequality. 9 (5+ 3x) + 5x = -4(x-3) -7 -
Evaluate S5 for each sequence described.arithmetic, with a2 = 12 and a3 = 15
Fill in the blanks to complete the terms of each geometric sequence. 1 1 3' 9'27'
Fill in each blank with the correct response.The arithmetic mean of -4, -2, 0, 2, and 4 is _____.
Determine an expression for the general term of each arithmetic or geometric sequence.2, 7, 12, . . .
Fill in each blank with the correct response.The value of 0! is _____.
Write the first four terms of each sequence. an (n + 1)(n-1) =
Fill in the blanks to complete the terms of each arithmetic sequence. 3 1,2,2,.
LetList the elements of S that are members of each set.Irrational numbers S = {−³, 10, 0, V13, –√3, 45, V-7, 0.82, -3}. 3
Determine a4 for each sequence described.geometric, with a5 = 16 and a7 = 9
Determine an expression for the general term of each arithmetic or geometric sequence.2, 8, 32, . . .
Fill in each blank with the correct response.The value of 3! is _____.
Write the first four terms of each sequence. an u
Fill in each blank with the correct response.The number of terms in the geometric sequence 1, 2, 4, . . . , 2048 is _____.
LetList the elements of S that are members of each set.Rational numbers S = {−³, 10, 0, V13, –√3, 45, V-7, 0.82, -3}. 3
Determine a4 for each sequence described.arithmetic, with a1 = 6 and d = -2
Fill in each blank with the correct response.If an = (-1)n, then a115 = _____.
Find the indicated term and evaluate S10 for each sequence.a9: geometric; a1 = 1, r = -3
Fill in each blank with the correct response.The last term in the expansion of (x - y)4 is _____.
Fill in each blank with the correct response.The number of terms in the arithmetic sequence 2, 4, 6, . . . , 100 is _____.
Fill in each blank with the correct response.The sum of the first five terms of the geometric sequence 1, 2, 4, . . . is __________ .
Write the first four terms of each sequence. an = n²
Simplify each expression. 7 11 + 30 45 3 10
Write the first five terms of each sequence described.Geometric, with a4 = 6 and r = 1/2
Find the indicated term and evaluate S10 for each sequence.a15: arithmetic; a1 = -4, d = 3
Fill in each blank with the correct response.If an = 2n, then a40 = _____.
Fill in each blank with the correct response.The first term in the expansion of (x + y)3 is _____.
Fill in each blank with the correct response.The sum of the first five terms of the arithmetic sequence 1, 6, 11, . . . is _________.
Write the first four terms of each sequence. an n - 1 n
Simplify each expression. |-7| +6 -|-10| − (−8+3)
Fill in each blank with the correct response.For the geometric sequence having an = (-2)n, the term a5 = _____.

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