Arithmetic & Geometric Sequences
Name ____________________________________
Find the next three terms in each sequence. Then, identify the rule and write whether each sequence is
arithmetic or geometric.
Sequence
Rule
Arithmetic or Geometric
2, 8, 14, 20, _____, _____, _____
_________________
__________________________
1, 5, 25, 125, _____, _____, _____
_________________
__________________________
1000, 500, 250, _____, _____, _____
_________________
__________________________
90, 80, 70, 60, _____, _____, _____
_________________
__________________________
1, -3, 9, -27, _____, _____, _____
_________________
__________________________
1.5, 3.0, 6.0, 12.0, _____, _____, _____
_________________
__________________________
-1, -5, -9, -13, _____, _____, _____
_________________
__________________________
2, -4, 8, -16, _____, _____, _____
_________________
__________________________
Identify the common difference in the following sequences:
5, 8, 11, 14, …
common difference is _____
10, 9, 8, 7, …
common difference is _____
-10, -5, 0, 5, …
common difference is _____
Identify the common ratio in the following sequences:
2, 14, 98, 686, …
common ratio is _____
-3, 3, -3, 3, …
common ratio is _____
800, 200, 50, 12.5, … common ratio is _____
Matching: Write the letter of the correct definition next to each vocabulary word.
_____ Sequence
A) the fixed number added to the previous term in an arithmetic sequence
_____ Term
B) a sequence found by multiplying the previous term by a fixed number
_____ Arithmetic Sequence
C) the fixed number multiplied to the previous term in a geometric sequence
_____ Geometric Sequence
D) a set of numbers that follows a pattern
_____ Common Difference
E) a sequence found by adding a fixed number to the previous term
_____ Common Ratio
F) each number in a sequence
Bonus!
What is the 8th term in the following sequence? _____
0.3
0.6
0.9 1.2 …