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WorksheetsExploring Patterns and Sequences in Python
Total questions: 11
Worksheet time: 34mins
Think of a sequence of numbers (arithmetic, like 2, 5, 8, … or another pattern).
Write down the first 5 numbers in your sequence.
Describe the rule you used to create the sequence.
Write Python code to print out the 100th number of your sequence.
Think of a geometric shape. How could you use a pattern or sequence to build this shape? Provide instructions on how to build the shape you chose.
Example: Building a Square
Step 1: Think about the shape mathematically
A square has 4 sides.
Each corner requires a turn of 90°.
All sides are the same length.
Step 2: Identify the pattern / sequence
Each step in the sequence corresponds to moving forward and turning.
Repeated steps form the shape:
Sequence of actions for a square:
Move forward 100 units → turn 90°
Move forward 100 units → turn 90°
Move forward 100 units → turn 90°
Move forward 100 units → turn 90°
Notice: The repeated addition of 90° turns creates the square. This is the pattern in action.
What will come next in the pattern?
Find the first 6 terms of the sequence.
13, 19, 25, 31, 37, 43
7, 13, 19, 25, 31, 37
1, 7, 13, 19, 25, 31
7, 12, 17, 22, 27, 32
How many circles would be in picture 5?
13 circles
14 circles
15 circles
16 circles
This sequence is a(n)...
Arithmetic Sequence with a common difference of 5
Arithmetic Sequence with a common ratio of 5
Geometric Sequence with a common difference of 5
Geometric Sequence with a common ratio of 5
How many cubes are in the 4th arrangement?
8 cubes
10 cubes
12 cubes
Draw a quick sketch of your favorite shape or pattern from today.
