Arithmetic Series
Name____________________________________
Find the sum of the following arithmetic sequences. By matching the color to the correct answer, you can
correctly color the picture!
18
Orange: 12, 19, 26, 33, … . 𝑛 = 19
Pink: ∑ −5𝑛 − 4
𝑛=1
Red: 1, 0.5, 0, −0.5, −1, … . 𝑛 = 21
Grey: −2, −6, −10, −14, … . 𝑛 = 30
22
15
Purple: ∑ 4𝑛 − 15
Light Green: ∑ 48 − 3𝑥
𝑛=1
𝑛=1
24
Blue:
∑ 7𝑘 + 10
Brown: Joe started saving $25 in January. Each
month after, he increased the amount by $5. After
two years, how much will Joe have saved?
𝑘=3
Yellow: Tracy started a job at $18,500 a year.
Each year she received a raise of $750. What
is her total income after 10 years?
1
360
5
561
2
2
3
218,750 25,250
1800
6
7
7
2299
1425 198,750
Dark Green: −15, −9, −3, 3, … . 𝑛 = 17
3
1980
8
-927
4
682
9
-118
4
201
9
-84
5
-94
10
-1800