Question 1

Write out the first four terms in the sequence. 
A) 
B) 
C) 
D)

Accepted Answer

B

Question 2

Expand and evaluate the series.

Accepted Answer

140

Question 3

Use the following to answer questions :
14, 20, 26, 32, 38, . . .
-Predict the next term for the sequence.
A) 55
B) 56
C) 57
D) 58

Accepted Answer

C

Question 4

Find the indicated term for the sequence. a_n = ; a₁₉. A) B) C) D)

Accepted Answer

We can see that the sequence follows the pattern of adding 1 to the third group of characters after every 2 terms. So, for the 3rd term, we add 1 to 6742 which gives us 6743. Therefore, the answer is 11ea7f29_5022_6743_9ecd_1ded346b6a7d_TB3307_11, which is option C.

Question 5

Write out the first four terms in the sequence.

Accepted Answer

The answer of Write out the first four terms in...

Question 6

Simplify the factorial expression. 
A) 
B) 5
C) 720
D) 5760

Accepted Answer

The expression is 7!, which is equivalent to 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. Therefore, the closest answer choice is C, which is 720 (the factorial of 6).

Question 7

Use the following to answer questions : 10, 100, 1000, 10,000, 100,000, . . . -Find the general term for the sequence. A) a_n = 10n B) a_n = 10ⁿ C) a_n = n¹⁰ D) a_n = 10ⁿ^{- 1}

Accepted Answer

The general term for the sequence is 10^n. The expression in choice B, a_n = 10ⁿ, represents 10 to the power of n using the symbols for arithmetic operations in the question.

Question 8

Use the following to answer questions :
aS1U1B1nS1U1B0 = (-1)S1U1P1nS1S1P0S1U1P1 S1S1P0(n + 1)
-Find the 20th term.
A) 21
B) -21
C) 20
D) -20

Accepted Answer

The given sequence is a pattern where each term is the negative of the previous term plus one. Starting from the first term, which is 1, the sequence alternates between positive and negative values, increasing by 1 each time. The 20th term is positive and equals 21.

Question 9

Find the first five terms of the recursive sequence.

Accepted Answer

The answer of Find the first five terms of the...

Question 10

Simplify the factorial expression. 
A) 495
B) 55
C) 
D)

Accepted Answer

The answer of Simplify the factorial expression. 
A) 495
B) 55
C)...

Question 11

Find the indicated term for the sequence. a_n = ; a₁₀.

Accepted Answer

The answer of Find the indicated term for the sequence. a_n...

Question 12

Expand and evaluate the series. 
A) -3
B) -4
C) -5
D) -6

Accepted Answer

The answer of Expand and evaluate the series. 
A) -3
B)...

Question 13

Use the following to answer questions : 14, 20, 26, 32, 38, . . . -Find the general term for the sequence. A) a_n = n + 11 B) a_n = 5n + 7 C) a_n = -4n + 16 D) a_n = 4n + 8

Accepted Answer

The answer of Use the following to answer questions :
14,...

Question 14

Simplify the factorial expression.

Accepted Answer

The answer of Simplify the factorial expression. ...

Question 15

Find the partial sum S₄ for the sequence. a_n = -4n + 5 A) -21 B) -20 C) -19 D) -18

Accepted Answer

The answer of Find the partial sum S₄ for the...

Question 16

(a) Find the first four terms for the nth term given. (b) Find the 9th term. a_n = 9n + 4

Accepted Answer

The answer of (a) Find the first four terms for...

Question 17

Write the sum using sigma notation. Answers are not necessarily unique.
10 + 20 + 30 + 40 + 50 + 60

Accepted Answer

The answer of Write the sum using sigma notation. Answers...

Question 18

Simplify the factorial expression.

Accepted Answer

The answer of Simplify the factorial expression. ...

Question 19

Use the following to answer questions :
aS1U1B1nS1U1B0 = (-1)S1U1P1nS1S1P0S1U1P1 S1S1P0(n + 1)
-Find the first four terms and write them as a list.
A) 1, -2, 3, -4
B) -1, 2, -3, 4
C) 2, -3, 4, -5
D) -2, 3, -4, 5

Accepted Answer

-1^{= -1 (because P1 is 0)} = -1 (because P0 is 1 and S is negative) n+1 is the value of the term (starting with n=0) so the first four terms are: -2, 3, -4, 5

Question 20

Use the following to answer questions :
10, 100, 1000, 10,000, 100,000, . . .
-Predict the next term for the sequence.

Accepted Answer

The answer of Use the following to answer questions :
10,...

Quiz 10: Additional Topics in Algebra

Write out the first four terms in the sequence.

Expand and evaluate the series.

Use the following to answer questions : 14, 20, 26, 32, 38, . . . -Predict the next term for the sequence.

Find the indicated term for the sequence. a_n = ; a₁₉.

Write out the first four terms in the sequence.

Simplify the factorial expression.

Use the following to answer questions : 10, 100, 1000, 10,000, 100,000, . . . -Find the general term for the sequence.

Use the following to answer questions : a_n = (-1) ⁿ(n + 1) -Find the 20th term.

Find the first five terms of the recursive sequence.

Simplify the factorial expression.

Find the indicated term for the sequence. a_n = ; a₁₀.

Expand and evaluate the series.

Use the following to answer questions : 14, 20, 26, 32, 38, . . . -Find the general term for the sequence.

Simplify the factorial expression.

Find the partial sum S₄ for the sequence. a_n = -4n + 5

(a) Find the first four terms for the nth term given. (b) Find the 9th term. a_n = 9n + 4

Write the sum using sigma notation. Answers are not necessarily unique. 10 + 20 + 30 + 40 + 50 + 60

Simplify the factorial expression.

Use the following to answer questions : a_n = (-1) ⁿ(n + 1) -Find the first four terms and write them as a list.

Use the following to answer questions : 10, 100, 1000, 10,000, 100,000, . . . -Predict the next term for the sequence.

Quiz 10: Additional Topics in Algebra

Write out the first four terms in the sequence.

Expand and evaluate the series.

Use the following to answer questions : 14, 20, 26, 32, 38, . . . -Predict the next term for the sequence.

Find the indicated term for the sequence. an = ; a19.

Write out the first four terms in the sequence.

Simplify the factorial expression.

Use the following to answer questions : 10, 100, 1000, 10,000, 100,000, . . . -Find the general term for the sequence.

Use the following to answer questions : an = (-1) n (n + 1) -Find the 20th term.

Find the first five terms of the recursive sequence.

Simplify the factorial expression.

Find the indicated term for the sequence. an = ; a10.

Expand and evaluate the series.

Use the following to answer questions : 14, 20, 26, 32, 38, . . . -Find the general term for the sequence.

Simplify the factorial expression.

Find the partial sum S4 for the sequence. an = -4n + 5

(a) Find the first four terms for the nth term given. (b) Find the 9th term. an = 9n + 4

Write the sum using sigma notation. Answers are not necessarily unique. 10 + 20 + 30 + 40 + 50 + 60

Simplify the factorial expression.

Use the following to answer questions : an = (-1) n (n + 1) -Find the first four terms and write them as a list.

Use the following to answer questions : 10, 100, 1000, 10,000, 100,000, . . . -Predict the next term for the sequence.

Find the indicated term for the sequence. a_n = ; a₁₉.

Use the following to answer questions : a_n = (-1) ⁿ(n + 1) -Find the 20th term.

Find the indicated term for the sequence. a_n = ; a₁₀.

Find the partial sum S₄ for the sequence. a_n = -4n + 5

(a) Find the first four terms for the nth term given. (b) Find the 9th term. a_n = 9n + 4

Use the following to answer questions : a_n = (-1) ⁿ(n + 1) -Find the first four terms and write them as a list.