ARITHMETIC & GEOMETRIC SEQUENCES
COLORING ACTIVITY
Instructions: Determine if the sequence is arithmetic, geometric, or neither. Find the common difference (d)
or common ratio (r) if the sequence is arithmetic or geometric. Find your answer in the answer bank at the
Find the problem number on the coloring sheet. Use the color listed next to
bottom of this page section of the coloring sheet.
your answer
d = +2
choice to color in that
1. {3, 5, 7, 9, }
3. {2, 6, 18, 54. ... }
5: {-10, 20, -40, 80,... }
7. {3/2, 2, 5/2, 3,... }
9. {-14, 2, -1, 5, ... }
II. {19, 10, 1, -8,... }
13. {1000, 100, 10, 1, ... }
15. {5, 6, 8, 11, ... }
17. {1, -6, 36, -216, ...}
19. {-25, -5, 15, 35, ...}
R = 3
R = 2
d=
Answer Bank:
Porple: Geometric, r = 3
Light Green: Neither
Black: Arithmetic; d = 20
Light Blue: Geometric; r = 1/4
range: Arithmetic; d = -14
Dark Blue: Geometric; r = 0.1
Yellow: Geometric; r = -1/3
Light Blue: Arithmetic; d = 2
2. {5, 10, 12, 30, ...}
4. {1, 4, 8, 16,... }
Neither
Wellher?
6. {-4, -7, -10, -13, - }
8. {1, -1/3, 1/9, -1/27, ...}
10. {-23, -37, -51, -65,... }
12. 3, 6, 18, 24, ... }
14. {5, 25, 125, 625,..}
0=-3
16. {7/3, 3, 11/3, 13/3, ...}
18. 4000, 1000, 250, 62.5, ...}
20. {2, 4, 12, 48, ... }
***
Orange: Geometric: r = -6
Dark Green: Arithmetic; d = 2/3
Red: Geometric; r = −2
Dark Green: Arithmetic; d = -9
Dark Blue: Arithmetic; d = 1/2
Brown: Arithmetic; d = -3
5
Yellow: Geometric; r =
shift