Question 1

Determine the next two numbers for the given number pattern:

2, 4, 5, 10, 11, 22, 23, ______, _______

Accepted Answer

46,  47

Answer

23,  25

Answer

46,  46

Answer

46,  48

Question 2

Determine the next two numbers for the given number pattern:

59, 51, 55, 46, 50, 40, 44, ______, _______

Accepted Answer

33,  37

Answer

34,  38

Answer

33,  36

Answer

37,  33

Question 3

Determine the missing number for the given number pattern:

53, 50, 44, _______, 23

Accepted Answer

35

Answer

32

Answer

33

Answer

36

Question 4

Determine the missing number for the given arithmetic sequence:

1, -6, -13, ________, -27

Accepted Answer

-20

Answer

6

Answer

-22

Answer

20

Question 5

What is the correct "generic" formula we start with to write the explicit formula for an arithmetic sequence?

Accepted Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Question 6

What is the explicit formula for the arithmetic sequence 31, 33, 35, 37, 39, ... ?

Accepted Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Question 7

What is the explicit formula for the arithmetic sequence 9, 1, -7, -15, -23, ...?

Accepted Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Question 8

Given $a_n=3n+1$ , what is $a_{12}$ ?

Accepted Answer

37

Answer

36

Answer

15

Answer

16

Question 9

Given $a_n=3n+1$ , what is $a_{12}$ ?

Accepted Answer

22

Answer

10

Answer

11

Answer

21

Question 10

Given $a_n=3n+1$ , what is $a_{12}$ ?

Accepted Answer

1100

Answer

155

Answer

1080

Answer

135

Question 11

What is the pattern for the following group of numbers?

10, 13, 26, 29, 58,...

Accepted Answer

add 3, times 2

Answer

add -2, times 3

Answer

add 3, times -2

Answer

add 2, times 3

Question 12

What is the pattern for the following group of numbers?

-5, -9, -17, -33, -65,...

Accepted Answer

multiply by 2 then add 1

Answer

multiply by -2 then subtract 1

Answer

multiply by 2 then subtract 1

Answer

multiply by -2 then add 1

Question 13

Which set of numbers represents an arithmetic sequence?

Accepted Answer

1, 7, 13, 19, 25,...

Answer

1, 7, 13, 20, 25,...

Answer

1, 7, 14, 19, 24,...

Answer

1, 7, 49, 343,...

Question 14

Which set of numbers represents an arithmetic sequence?

Accepted Answer

-12, -8, -4, 0, 4,...

Answer

-12, -8, -3, 0, 4,...

Answer

-12, -7, -2, 5, 10,...

Answer

-12, -24, -48, -96,...

Question 15

Given the explicit formula for this arithmetic sequence, find the common difference and the first 3 terms:

$a_n=5+3n$

Accepted Answer

d=3; first 3 terms are 8, 11, 14

Answer

d=3; first 3 terms are 14, 17, 20

Answer

d=3; first 3 terms are 5, 8, 11

Answer

d=-3; first 3 terms are 8, 11, 14

Question 16

Given the first term and the common difference of an arithmetic sequence, find the explicit formula and the named term:

$a_n=5+3n$ . Find $a_7$ .

Accepted Answer

$a_n=a_1+d\left(n-1\right)$ ; $a_7=-18$

Answer

$a_n=a_1+d\left(n-1\right)$ ; $a_7=-18$

Answer

$a_n=a_1+d\left(n-1\right)$ ; $a_7=-18$

Answer

$a_n=a_1+d\left(n-1\right)$ ; $a_7=-18$

Question 17

Given the first term and common difference of an arithmetic sequence, find the desired term and the explicit formula:

$a_n=5+3n$ . Find $a_7$ .

Accepted Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Answer

$a_n=a_1+d\left(n-1\right)$

Question 18

Given the explicit formula of an arithmetic sequence, find the common difference and the first 3 terms:

$a_n=5+3n$

Accepted Answer

$a_n=a_1+d\left(n-1\right)$ ; first 3 terms are 49, 43, 37

Answer

$a_n=a_1+d\left(n-1\right)$ ; first 3 terms are 49, 43, 37

Answer

$a_n=a_1+d\left(n-1\right)$ ; first 3 terms are 55, 49, 43

Answer

$a_n=a_1+d\left(n-1\right)$ ; first 3 terms are 55, 49, 43

Question 19

Given the explicit formula for this arithmetic sequence, find the common difference and the first 3 terms:

$a_n=5+3n$

Accepted Answer

d=-1; first 3 terms are 1, 0, -1

Answer

d=1; first 3 terms are 1, 0, -1

Answer

d=-1; first 3 terms are 2, 1, 0

Answer

d=0; first 3 terms are 2, 1, 0

Question 20

Given the explicit formula for this arithmetic sequence, find the first 3 terms:

$a_n=5+3n$

Accepted Answer

-5,  -4,  -3

Answer

-6,  -5,  -4

Answer

5,  4,  3

Answer

6,  5,  4

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