Think you’ve got your head wrapped around Sequences and Series? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Find the common difference for the sequence 8, 4, 0, …
8
4
0
-4
½
Q. Find the next three terms: 
Q. List the first 4 terms of the arithmetic sequence given by {an} = (an – 1) + 4 whose first term is -5.
-1, 3, 7, 11
-1, 4, 8, 12
-5, -1, 3, 7
-5, -9, -13, -17
4, -1, -6, -11
Q. Find the recursive rule for the sequence -1, -6, -11, -16, …
{an} = (an – 1) – 5
{an} = (an – 1) + 5
{an} = 4 – 5(n – 1)
{an} = -1 + 5(n – 1)
{an} = -1 – 5(n – 1)
Q. Find the explicit rule for the arithmetic sequence given by 2, 4, 6, 8, …
{an} = (an – 1) – 2
{an} = (an – 1) + 2
{an} = 4 + 2(n – 1)
{an} = 2 + 2(n – 1)
{an} = 2 – 2(n – 1)
Q. Given the arithmetic sequence {an} = (an – 1) – 1 with a1 = 1, find the 40th term.
40
39
– 38
– 39
– 40
Q. Find the 5th partial sum of the sequence {an} = 4 – 2(n – 1).
4
2
0
-2
-4
Q. Find the 10th partial sum of the sequence {an} = 3 + 2(n – 1).
21
24
110
120
130
Q. Find the sum: 
-30
30
0
180
-165
Q. Find the sum: 
8
33
35
66
68