1. Which description shows the relationship between a
term and n, its position in the sequence?
Position n
Value of Term ?
Multiply n by 3, and add 1 A:
Add 4 to n B:
Multiply n by 4 and subtract 1
Multiply n by 2, and add 1 C: D:

2. Which description shows the relationship between a
term and n, its position in the sequence?
Position n
Value of Term ?
Multiply n by 3, and add 1 A:
Add 4 to n B:
Multiply n by 4 and subtract 1
Multiply n by 2, and add 1 C: D:

3. Which sequence is described by the expression
2n – n2, where n represents the term’s position
in the sequence?
2, 0, -2, -4 … A:
1, 0, -3, -8 … B:
6,12,18,24 …
0, -4, -9, -16 … C: D:

4. Which sequence is described by the expression
2n – n2, where n represents the term’s position
in the sequence?
2, 0, -2, -4 … A:
1, 0, -3, -8 … B:
6,12,18,24 …
0, -4, -9, -16 … C: D:

5. 4, 9, 14, 19, … Look at the following sequence of numbers.
Which expression can be used to find the value
of the nth term in the sequence?
n + 5 A: 6n B:
2n + 1
5n - 1 C: D:

6. 4, 9, 14, 19, … Look at the following sequence of numbers.
Which expression can be used to find the value
of the nth term in the sequence?
n + 5 A: 6n B:
2n + 1
5n - 1 C: D:

7. Which expression can be used to find the nth
term in the following sequence, where n represents
a number’s position in the sequence?
Position n
Term ? A:
n + 6
n + 6 B:
3n + 11 C:
7n + 4
7n + 4 D:
6n + 6

8. Which expression can be used to find the nth
term in the following sequence, where n represents
a number’s position in the sequence?
Position n
Term ? A:
n + 6
n + 6 B:
3n + 11 C:
7n + 4
7n + 4 D:
6n + 6

9. The value of the first four terms of a sequence are
shown below. Which rule could be used to identify
the nth term of the sequence?
1st nd rd th A: 3n B:
6n - 3 C: 3n D:
n2 + 4n -3

10. The value of the first four terms of a sequence are
shown below. Which rule could be used to identify
the nth term of the sequence?
1st nd rd th A: 3n B:
6n - 3 C: 3n D:
n2 + 4n -3

11. Which description shows the relationship between
a term and n, its position in the sequence?
Position n
Value of term ?
Add 3 to n
Multiply n by 2, and subtract 3 A: B:
Multiply n by 3, and subtract 2
Multiply n by 2, and add 3 C: D:

12. Which description shows the relationship between
a term and n, its position in the sequence?
Position n
Value of term ?
Add 3 to n
Multiply n by 2, and subtract 3 A: B:
Multiply n by 3, and subtract 2
Multiply n by 2, and add 3 C: D:

13. Which expression can be used to find the nth
term in the sequence?
Position n
Value of term ?
2n + 3
n2 + 2 A: B:
n + 3
2n2 C: D:

14. Which expression can be used to find the nth
term in the sequence?
Position n
Value of term ?
2n + 3
n2 + 2 A: B:
n + 3
2n2 C: D:

15. Which sequence follows the rule 2n2 + 3, where
n represents the position of a term in the sequence?
5, 11, 21, 35 …
5, 7, 9, 11 … A: B:
7, 19, 39, 67 …
4, 7, 12, 19 … C: D:

16. Which sequence follows the rule 2n2 + 3, where
n represents the position of a term in the sequence?
5, 11, 21, 35 …
5, 7, 9, 11 … A: B:
7, 19, 39, 67 …
4, 7, 12, 19 … C: D:

17. Which sequence is described by the expression
(n – 1)2 + 1 where n represents the term’s
position in the sequence?
1, 3, 5, 7, 9 …
4, 6, 8, 10, 12 … A: B:
0, 3, 8, 15, 24 …
1, 2 , 5, 10, 17 … C: D:

18. Which sequence is described by the expression
(n – 1)2 + 1 where n represents the term’s
position in the sequence?
1, 3, 5, 7, 9 …
4, 6, 8, 10, 12 … A: B:
0, 3, 8, 15, 24 …
1, 2 , 5, 10, 17 … C: D:

19. Every third day it is Jeff’s turn to empty the
dishwasher and to set the table. If he empties the
dishwasher and sets the table on the first of the
month, what expression can be used to find the nth
day of the month he will do these chores?
n + 3
n - 3 A: B: n3
3n - 2 C: D:

20. Every third day it is Jeff’s turn to empty the
dishwasher and to set the table. If he empties the
dishwasher and sets the table on the first of the
month, what expression can be used to find the nth
day of the month he will do these chores?
n + 3
n - 3 A: B: n3
3n - 2 C: D:

21. 0, 3, 8, 15, 24 … Which of the following is an expression for
the nth term of the sequence
0, 3, 8, 15, 24 …
2n - 1
2n + 1 A: B:
n2 + 1
n2 - 1 C: D:

22. 0, 3, 8, 15, 24 … Which of the following is an expression for
the nth term of the sequence
0, 3, 8, 15, 24 …
2n - 1
2n + 1 A: B:
n2 + 1
n2 - 1 C: D:

23. Which sequence follows the rule n2 + 4, where
n represents the position of a term in the
sequence?
6, 8, 10, 12 …
5, 8, 11, 14 … A: B:
5, 8, 13, 20 …
6, 10, 14, 18 … C: D:

24. Which sequence follows the rule n2 + 4, where
n represents the position of a term in the
sequence?
6, 8, 10, 12 …
5, 8, 11, 14 … A: B:
5, 8, 13, 20 …
6, 10, 14, 18 … C: D:

25. Which sequence follows the rule 2n -3,
where n represents the position of a term in
the sequence?
-1, 1, 3, 5 …
-1, 3, 7, 11 … A: B:
3, 6, 9, 12 …
1, 3, 5, 7 … C: D:

26. Which sequence follows the rule 2n -3,
where n represents the position of a term in
the sequence?
-1, 1, 3, 5 …
-1, 3, 7, 11 … A: B:
3, 6, 9, 12 …
1, 3, 5, 7 … C: D:

27. 0.5, 1, 1.5, 2, 2.5, The following sequence forms a pattern.
0.5, 1, 1.5, 2, 2.5,
If this pattern continues, which expression can
be used to find the 6th term?
6 ÷ 0.5
6 X 0.5 A: B:
6 – 0.5 C: D:

28. 0.5, 1, 1.5, 2, 2.5, The following sequence forms a pattern.
0.5, 1, 1.5, 2, 2.5,
If this pattern continues, which expression can
be used to find the 6th term?
6 ÷ 0.5
6 X 0.5 A: B:
6 – 0.5 C: D:

29. Which expression can be used to find the nth
term in the sequence?
Position n
Value of term ?
2n + 3
n2 + 2 A: B:
n + 3
2n2 C: D:

30. Which expression can be used to find the nth
term in the sequence?
Position n
Value of term ?
2n + 3
n2 + 2 A: B:
n + 3
2n2 C: D:

31. Which sequence is described by the expression
6n + 1, where n represents the term’s position
in the sequence?
5, 13, 17, 23 …
7, 13, 19, 25 … A: B:
7, 8, 9, 10 …
6, 12, 18, 24 … C: D:

32. Which sequence is described by the expression
6n + 1, where n represents the term’s position
in the sequence?
5, 13, 17, 23 …
7, 13, 19, 25 … A: B:
7, 8, 9, 10 …
6, 12, 18, 24 … C: D:

33. Which statement describes the relationship
between a term and n, its position in the
sequence?
Position n
Value of term ?
Multiply n by itself.
Multiply n by 2 and then add 2. A: B:
Square n and then subtract 1.
Multiply n by 3 and then subtract 1. C: D:

34. Which statement describes the relationship
between a term and n, its position in the
sequence?
Position n
Value of term ?
Multiply n by itself.
Multiply n by 2 and then add 2. A: B:
Square n and then subtract 1.
Multiply n by 3 and then subtract 1. C: D:

35. Which expression describes the relationship between
a term and n, its position in the sequence?
Position n
Value of term ?
n2 - 5
2n - 5 A: B:
2n2 - 5
2n2 + 5 C: D:

36. Which expression describes the relationship between
a term and n, its position in the sequence?
Position n
Value of term ?
n2 - 5
2n - 5 A: B:
2n2 - 5
2n2 + 5 C: D:

37. Which sequence follows the rule 2n2 – 10,
where n represents the position of a
term in the sequence?
-8, 2, 4, 10 … A: B:
-9, -6, -1, 6 … C:
-8, -2, 8, 22 … D:
-9, 1, 11, 21 …

38. Which sequence follows the rule 2n2 – 10,
where n represents the position of a
term in the sequence?
-8, 2, 4, 10 … A: B:
-9, -6, -1, 6 … C:
-8, -2, 8, 22 … D:
-9, 1, 11, 21 …

39. 6, 9, 14, 21, 30 Which expression can be used to find the
nth term in the sequence below, where n
represents the position of the term in the
sequence?
6, 9, 14, 21, 30
2n2 + 3 A: B:
2n + 4 C:
n2 -1 D:
n2 + 5

40. 6, 9, 14, 21, 30 Which expression can be used to find the
nth term in the sequence below, where n
represents the position of the term in the
sequence?
6, 9, 14, 21, 30
2n2 + 3 A: B:
2n + 4 C:
n2 -1 D:
n2 + 5

41. Which expression describes the relationship between
a term and n, its position in the sequence?
Position n
Value of term ?
n - 8
2n3 + 4 A: B:
n3 - 8 n3 C: D:

42. Which expression describes the relationship between
a term and n, its position in the sequence?
Position n
Value of term ?
n - 8
2n3 + 4 A: B:
n3 - 8 n3 C: D:

43. -2, 4, 14, 28, 46 Which expression can be used to find the
nth term in the sequence below, where n
represents the position of the term in the
sequence?
-2, 4, 14, 28, 46
2n2 - 4 A: B:
2n + 4 C:
n2 + 14 D:
2n - 8

44. -2, 4, 14, 28, 46 Which expression can be used to find the
nth term in the sequence below, where n
represents the position of the term in the
sequence?
-2, 4, 14, 28, 46
2n2 - 4 A: B:
2n + 4 C:
n2 + 14 D:
2n - 8

45. Which sequence follows the rule n/3, in
which n represents the position of a term
in the sequence?
1/3, 1, 1 1/3, 2, etc.
1/3, 2/3, 1, 1 1/3, etc. A: B:
1/3, 2/3, 1 1/3,
2, etc.
1 1/3, 2 2/3, 4,
5 1/3, etc. C: D:

46. Which sequence follows the rule n/3, in
which n represents the position of a term
in the sequence?
1/3, 1, 1 1/3, 2, etc.
1/3, 2/3, 1, 1 1/3, etc. A: B:
1/3, 2/3, 1 1/3,
2, etc.
1 1/3, 2 2/3, 4,
5 1/3, etc. C: D:

47. Let x represent the position of a number in the following sequence.
¾, 1 ½, 2 ¼, 3, …
Which expression can be used to find any
term in the sequence? 3n A: B:
¾ n C:
4/3 n D:
n + 3/4

48. Let x represent the position of a number in the following sequence.
¾, 1 ½, 2 ¼, 3, …
Which expression can be used to find any
term in the sequence? 3n A: B:
¾ n C:
4/3 n D:
n + 3/4