1. a. Table:
| Position (n) | 1 | 2 | 3 | 4 | 5 |
|--------------|---|---|---|---|---|
| Term | 4 | 8 | 12| 16| 20|
b. Pattern: Multiply the position number by 4.
c. 20th term: 80
d. 100th term: 400
e. 50th term: 200
f. 1000th term: 4000
g. nth term: 4n
2. a. y = x + 3
Description: Add 3 to the input value.
b. y = 2x - 1
Description: Multiply the input value by 2, then subtract 1.
c. y = 5x + 2
Description: Multiply the input value by 5, then add 2.
d. y = x² + 1
Description: Square the input value, then add 1.
Relationship: The output value (y) is determined by applying a specific mathematical operation or sequence of operations to the input value (x).
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet algebra.
