Exam 8: Quadratic Equations and Functions

Write a formula for the general term (the nth term) of the geometric sequence. - $3 , - 1 , \frac { 1 } { 3 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots$

(Multiple Choice)

4.8/5

(42)

Question 41

Solve the problem. -The bar graph below shows a company's yearly profits from 2003 to 2011. Let an represent the company's profit, in millions, in year n, where n = 1 corresponds to 2003, n = 2 corresponds to 2004, and so on. $Solve the problem. -The bar graph below shows a company's yearly profits from 2003 to 2011. Let an represent the company's profit, in millions, in year n, where n = 1 corresponds to 2003, n = 2 corresponds to 2004, and so on. Find \sum _ { \mathrm { i } = 1 } ^ { 8 } \mathrm { a } _ { \mathrm { i } }$ Find $\sum _ { \mathrm { i } = 1 } ^ { 8 } \mathrm { a } _ { \mathrm { i } }$

(Multiple Choice)

4.8/5

(37)

Question 42

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. -Find a₈ when a1 = -3, r = -2.

(Multiple Choice)

4.8/5

(34)

Question 43

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. -Find a₉ when a₁ = 2, r = -2.

(Multiple Choice)

4.9/5

(32)

Question 44

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r. - $a _ { 1 } = - 2 , r = - 6$

(Multiple Choice)

4.8/5

(36)

Question 45

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 26 } ( - 3 i + 8 )$

(Multiple Choice)

4.9/5

(40)

Question 46

Write the first four terms of the sequence whose general term is given. - $a _ { n } = \frac { 3 ^ { n } } { ( n + 3 ) ! }$

(Multiple Choice)

4.9/5

(37)

Question 47

Write the first four terms of the sequence whose general term is given. - $a _ { n } = 2 n - 1$

(Multiple Choice)

4.7/5

(34)

Question 48

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 14; d = -4

(Multiple Choice)

4.7/5

(34)

Question 49

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = - 0.4 , d = 0.7$

(Multiple Choice)

4.9/5

(42)

Question 50

Find the indicated sum. - $\sum _ { i = 6 } ^ { 9 } \frac { 1 } { i - 1 }$

(Multiple Choice)

4.9/5

(44)

Question 51

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. - $2 + 8 + 18 + \ldots + 72$

(Multiple Choice)

4.7/5

(46)

Question 52

Solve the problem. -Jacie is considering a job that offers a monthly starting salary of $3500 and guarantees her a monthly raise of $110 during her first year on the job. Find the general term of this arithmetic sequence and her monthly salary at the end of her first year.

(Multiple Choice)

4.8/5

(41)

Question 53

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 11; d = -2

(Multiple Choice)

4.9/5

(35)

Question 54

Find the common difference for the arithmetic sequence. -746, 737, 728, 719, . . .

(Multiple Choice)

4.8/5

(40)

Question 55

Solve the problem. -A theater has 34 rows with 21 seats in the first row, 24 in the second row, 27 in the third row, and so forth. How many seats are in the theater?

(Multiple Choice)

4.9/5

(40)

Question 56

Find the common ratio for the geometric sequence. -1, -3, 9, -27, 81, . . .

(Multiple Choice)

4.8/5

(41)

Question 57

Solve the problem. -To train for a race, Will begins by jogging 11 minutes one day per week. He increases his jogging time by 6 minutes each week. Write the general term of this arithmetic sequence, and find how many weeks it takes for him to reach a jogging time of one hour.

(Multiple Choice)

4.8/5

(40)

Question 58

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $\frac { 3 } { 4 } + \frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \ldots + \frac { 17 } { 18 }$

(Multiple Choice)

4.9/5

(37)

Question 59

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r. - $a _ { 1 } = 4 ; r = \frac { 1 } { 2 }$

(Multiple Choice)

4.8/5

(29)

Question 60

Showing 41 - 60 of 115

Write a formula for the general term (the nth term) of the geometric sequence. - $3 , - 1 , \frac { 1 } { 3 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots$

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. -Find a₈ when a1 = -3, r = -2.

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. -Find a₉ when a₁ = 2, r = -2.

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r. - $a _ { 1 } = - 2 , r = - 6$

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 26 } ( - 3 i + 8 )$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = \frac { 3 ^ { n } } { ( n + 3 ) ! }$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = 2 n - 1$

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 14; d = -4

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = - 0.4 , d = 0.7$

Find the indicated sum. - $\sum _ { i = 6 } ^ { 9 } \frac { 1 } { i - 1 }$

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. - $2 + 8 + 18 + \ldots + 72$

Solve the problem. -Jacie is considering a job that offers a monthly starting salary of $3500 and guarantees her a monthly raise of $110 during her first year on the job. Find the general term of this arithmetic sequence and her monthly salary at the end of her first year.

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 11; d = -2

Find the common difference for the arithmetic sequence. -746, 737, 728, 719, . . .

Solve the problem. -A theater has 34 rows with 21 seats in the first row, 24 in the second row, 27 in the third row, and so forth. How many seats are in the theater?

Find the common ratio for the geometric sequence. -1, -3, 9, -27, 81, . . .

Solve the problem. -To train for a race, Will begins by jogging 11 minutes one day per week. He increases his jogging time by 6 minutes each week. Write the general term of this arithmetic sequence, and find how many weeks it takes for him to reach a jogging time of one hour.

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $\frac { 3 } { 4 } + \frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \ldots + \frac { 17 } { 18 }$

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r. - $a _ { 1 } = 4 ; r = \frac { 1 } { 2 }$

Algebra, Mathematical Models, and Problem Solving

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Filters

Exam 8: Quadratic Equations and Functions

Write a formula for the general term (the nth term) of the geometric sequence. - 3,−1,13,−19,127,…3 , - 1 , \frac { 1 } { 3 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots3,−1,31​,−91​,271​,…

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. -Find a8 when a1 = -3, r = -2.

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. -Find a9 when a1 = 2, r = -2.

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r. - a1=−2,r=−6a _ { 1 } = - 2 , r = - 6a1​=−2,r=−6

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - ∑i=126(−3i+8)\sum _ { i = 1 } ^ { 26 } ( - 3 i + 8 )∑i=126​(−3i+8)

Write the first four terms of the sequence whose general term is given. - an=3n(n+3)!a _ { n } = \frac { 3 ^ { n } } { ( n + 3 ) ! }an​=(n+3)!3n​

Write the first four terms of the sequence whose general term is given. - an=2n−1a _ { n } = 2 n - 1an​=2n−1

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 14; d = -4

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. - a1=−0.4,d=0.7a _ { 1 } = - 0.4 , d = 0.7a1​=−0.4,d=0.7

Find the indicated sum. - ∑i=691i−1\sum _ { i = 6 } ^ { 9 } \frac { 1 } { i - 1 }∑i=69​i−11​

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. - 2+8+18+…+722 + 8 + 18 + \ldots + 722+8+18+…+72

Solve the problem. -Jacie is considering a job that offers a monthly starting salary of $3500 and guarantees her a monthly raise of $110 during her first year on the job. Find the general term of this arithmetic sequence and her monthly salary at the end of her first year.

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 11; d = -2

Find the common difference for the arithmetic sequence. -746, 737, 728, 719, . . .

Solve the problem. -A theater has 34 rows with 21 seats in the first row, 24 in the second row, 27 in the third row, and so forth. How many seats are in the theater?

Find the common ratio for the geometric sequence. -1, -3, 9, -27, 81, . . .

Solve the problem. -To train for a race, Will begins by jogging 11 minutes one day per week. He increases his jogging time by 6 minutes each week. Write the general term of this arithmetic sequence, and find how many weeks it takes for him to reach a jogging time of one hour.

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - 34+45+56+67+…+1718\frac { 3 } { 4 } + \frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \ldots + \frac { 17 } { 18 }43​+54​+65​+76​+…+1817​

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r. - a1=4;r=12a _ { 1 } = 4 ; r = \frac { 1 } { 2 }a1​=4;r=21​

Algebra, Mathematical Models, and Problem Solving

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Filters

Write a formula for the general term (the nth term) of the geometric sequence. - $3 , - 1 , \frac { 1 } { 3 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots$

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. -Find a₈ when a1 = -3, r = -2.

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. -Find a₉ when a₁ = 2, r = -2.

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r. - $a _ { 1 } = - 2 , r = - 6$

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 26 } ( - 3 i + 8 )$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = \frac { 3 ^ { n } } { ( n + 3 ) ! }$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = 2 n - 1$

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = - 0.4 , d = 0.7$

Find the indicated sum. - $\sum _ { i = 6 } ^ { 9 } \frac { 1 } { i - 1 }$

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. - $2 + 8 + 18 + \ldots + 72$

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $\frac { 3 } { 4 } + \frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \ldots + \frac { 17 } { 18 }$

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r. - $a _ { 1 } = 4 ; r = \frac { 1 } { 2 }$