1. a. Table:
| Term Number (n) | 1 | 2 | 3 | 4 | 5 | 6 |
|-----------------|---|---|---|---|---|---|
| Term Value | 3 | 6 | 9 | 12| 15| 18|
b. Pattern: Multiply the term number by 3.
c. 30th term: 90
d. 100th term: 300
e. 1000th term: 3000
f. nth term: 3n
2. a. y = x + 5
Description: Add 5 to the input value.
b. y = x - 5
Description: Subtract 5 from the input value.
c. y = 3x + 2
Description: Multiply the input value by 3, then add 2.
d. y = 2x - 1
Description: Multiply the input value by 2, then subtract 1.
e. The relationship between the input and output is defined by the algebraic rule given for each pattern. The output is calculated by applying the specified operations to the input value.
Parent Tip: Review the logic above to help your child master the concept of pattern and equations worksheet.
