Exam 10: Radicals, Radical Functions, and Rational Exponents

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 25 } ( - 5 i - 3 )$

(Multiple Choice)

4.8/5

(34)

Question 41

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = \frac { 3 } { 4 } , d = \frac { 5 } { 4 }$

(Multiple Choice)

5.0/5

(37)

Question 42

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 5; d = -1

(Multiple Choice)

4.8/5

(40)

Question 43

Find the common difference for the arithmetic sequence. -2, -1, -4, -7, . . .

(Multiple Choice)

4.9/5

(39)

Question 44

Find the indicated sum. - $\sum _ { i = 3 } ^ { 6 } \frac { 1 ! } { ( i - 1 ) ! }$

(Multiple Choice)

4.9/5

(39)

Question 45

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 36 } ( - 4 i + 8 )$

(Multiple Choice)

4.8/5

(27)

Question 46

Use the partial sum formula to find the partial sum of the given arithmetic sequence. -Find 1 + 3 + 5 + 7 + . . ., the sum of the first 55 positive odd integers.

(Multiple Choice)

4.8/5

(41)

Question 47

Solve the problem. -To train for a race, Will begins by jogging 11 minutes one day per week. He increases his jogging time by 3 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)

4.7/5

(38)

Question 48

Find the indicated sum. - $\sum _ { i = 1 } ^ { 4 } 2 ^ { i }$

(Multiple Choice)

4.9/5

(41)

Question 49

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. - $a + a r + a r ^ { 2 } + \ldots + a r ^ { 14 }$

(Multiple Choice)

4.8/5

(34)

Question 50

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d. -Find a90 when a1 = -14, d = -5.

(Multiple Choice)

5.0/5

(41)

Question 51

Find the common ratio for the geometric sequence. -9, 0.9, 0.09, 0.009, . . .

(Multiple Choice)

4.8/5

(38)

Question 52

Find the common difference for the arithmetic sequence. -583, 588, 593, 598, . . .

(Multiple Choice)

4.9/5

(35)

Question 53

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

(Multiple Choice)

4.8/5

(43)

Question 54

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $1 ^ { 3 } + 2 ^ { 3 } + 3 ^ { 3 } + \ldots + 8 ^ { 3 }$

(Multiple Choice)

4.8/5

(42)

Question 55

Solve the problem. -A deposit of $7000 is made in an account that earns 7.2% interest compounded quarterly. The balance in the account after n quarters is given by the sequence $a _ { n } = 7000 \left( 1 + \frac { 0.072 } { 4 } \right) ^ { n } , n = 1,2,3 , \ldots$ Find the balance in the account after four years by computing a16

(Multiple Choice)

4.8/5

(37)

Question 56

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 1; d = 2

(Multiple Choice)

4.9/5

(43)

Question 57

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence. -27, 18 , 9, 0, . . .

(Multiple Choice)

4.8/5

(33)

Question 58

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence. -3 , 12 , 21 , 30 , 39 , . . .

(Multiple Choice)

4.9/5

(35)

Question 59

Find the common ratio for the geometric sequence. - $4,8,16,32,64 , \ldots$

(Multiple Choice)

4.9/5

(37)

Question 60

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 25 } ( - 5 i - 3 )$

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = \frac { 3 } { 4 } , d = \frac { 5 } { 4 }$

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 5; d = -1

Find the common difference for the arithmetic sequence. -2, -1, -4, -7, . . .

Find the indicated sum. - $\sum _ { i = 3 } ^ { 6 } \frac { 1 ! } { ( i - 1 ) ! }$

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 36 } ( - 4 i + 8 )$

Use the partial sum formula to find the partial sum of the given arithmetic sequence. -Find 1 + 3 + 5 + 7 + . . ., the sum of the first 55 positive odd integers.

Solve the problem. -To train for a race, Will begins by jogging 11 minutes one day per week. He increases his jogging time by 3 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.

Find the indicated sum. - $\sum _ { i = 1 } ^ { 4 } 2 ^ { i }$

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. - $a + a r + a r ^ { 2 } + \ldots + a r ^ { 14 }$

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d. -Find a90 when a1 = -14, d = -5.

Find the common ratio for the geometric sequence. -9, 0.9, 0.09, 0.009, . . .

Find the common difference for the arithmetic sequence. -583, 588, 593, 598, . . .

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

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $1 ^ { 3 } + 2 ^ { 3 } + 3 ^ { 3 } + \ldots + 8 ^ { 3 }$

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 1; d = 2

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence. -27, 18 , 9, 0, . . .

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence. -3 , 12 , 21 , 30 , 39 , . . .

Find the common ratio for the geometric sequence. - $4,8,16,32,64 , \ldots$

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Filters

Exam 10: Radicals, Radical Functions, and Rational Exponents

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - ∑i=125(−5i−3)\sum _ { i = 1 } ^ { 25 } ( - 5 i - 3 )∑i=125​(−5i−3)

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. - a1=34,d=54a _ { 1 } = \frac { 3 } { 4 } , d = \frac { 5 } { 4 }a1​=43​,d=45​

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 5; d = -1

Find the common difference for the arithmetic sequence. -2, -1, -4, -7, . . .

Find the indicated sum. - ∑i=361!(i−1)!\sum _ { i = 3 } ^ { 6 } \frac { 1 ! } { ( i - 1 ) ! }∑i=36​(i−1)!1!​

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - ∑i=136(−4i+8)\sum _ { i = 1 } ^ { 36 } ( - 4 i + 8 )∑i=136​(−4i+8)

Use the partial sum formula to find the partial sum of the given arithmetic sequence. -Find 1 + 3 + 5 + 7 + . . ., the sum of the first 55 positive odd integers.

Solve the problem. -To train for a race, Will begins by jogging 11 minutes one day per week. He increases his jogging time by 3 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.

Find the indicated sum. - ∑i=142i\sum _ { i = 1 } ^ { 4 } 2 ^ { i }∑i=14​2i

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. - a+ar+ar2+…+ar14a + a r + a r ^ { 2 } + \ldots + a r ^ { 14 }a+ar+ar2+…+ar14

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d. -Find a90 when a1 = -14, d = -5.

Find the common ratio for the geometric sequence. -9, 0.9, 0.09, 0.009, . . .

Find the common difference for the arithmetic sequence. -583, 588, 593, 598, . . .

Write the first four terms of the sequence whose general term is given. - an=n+22n−1a _ { n } = \frac { n + 2 } { 2 n - 1 }an​=2n−1n+2​

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - 13+23+33+…+831 ^ { 3 } + 2 ^ { 3 } + 3 ^ { 3 } + \ldots + 8 ^ { 3 }13+23+33+…+83

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. -a1 = 1; d = 2

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence. -27, 18 , 9, 0, . . .

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence. -3 , 12 , 21 , 30 , 39 , . . .

Find the common ratio for the geometric sequence. - 4,8,16,32,64,…4,8,16,32,64 , \ldots4,8,16,32,64,…

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Filters

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 25 } ( - 5 i - 3 )$

Write the first five terms of the arithmetic sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = \frac { 3 } { 4 } , d = \frac { 5 } { 4 }$

Find the indicated sum. - $\sum _ { i = 3 } ^ { 6 } \frac { 1 ! } { ( i - 1 ) ! }$

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 36 } ( - 4 i + 8 )$

Find the indicated sum. - $\sum _ { i = 1 } ^ { 4 } 2 ^ { i }$

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. - $a + a r + a r ^ { 2 } + \ldots + a r ^ { 14 }$

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

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $1 ^ { 3 } + 2 ^ { 3 } + 3 ^ { 3 } + \ldots + 8 ^ { 3 }$

Find the common ratio for the geometric sequence. - $4,8,16,32,64 , \ldots$