An office supply store sells notebooks in packages of 2. There are 100 total pieces of paper in each package. Generate two numerical patterns using the rules for the number of notebooks and the number of pieces of paper in a package. The starting numbers are given.
Could you give the starting numbers and is this a multiple choice question? If so, also say what the choices are.
Sure! Here are two numerical patterns based on the rules provided:
Pattern 1:
Starting with 1 package:
Number of notebooks = 2 * (package number)
Number of pieces of paper = 100 * (package number)
Package 1: Number of notebooks = 2 * 1 = 2, Number of pieces of paper = 100 * 1 = 100
Package 2: Number of notebooks = 2 * 2 = 4, Number of pieces of paper = 100 * 2 = 200
Package 3: Number of notebooks = 2 * 3 = 6, Number of pieces of paper = 100 * 3 = 300
...
Package n: Number of notebooks = 2 * n, Number of pieces of paper = 100 * n
Pattern 2:
Starting with 10 packages:
Number of notebooks = 2 * (package number + 10)
Number of pieces of paper = 100 * (package number + 10)
Package 1: Number of notebooks = 2 * (1 + 10) = 22, Number of pieces of paper = 100 * (1 + 10) = 1100
Package 2: Number of notebooks = 2 * (2 + 10) = 24, Number of pieces of paper = 100 * (2 + 10) = 1200
Package 3: Number of notebooks = 2 * (3 + 10) = 26, Number of pieces of paper = 100 * (3 + 10) = 1300
...
Package n: Number of notebooks = 2 * (n + 10), Number of pieces of paper = 100 * (n + 10)
Please note that these patterns are not exhaustive, and you can create more patterns by changing the starting numbers or by modifying the rules for the number of notebooks and pieces of paper.
To generate two numerical patterns using the rules for the number of notebooks and the number of pieces of paper in a package, you can use the given starting numbers and apply the rules.
Let's start with the first pattern:
Starting with 2 notebooks in a package:
- Notebook packages: 2, 4, 6, 8, 10, ...
Using this pattern, the number of notebooks in each successive package increases by 2.
Next, moving on to the second pattern:
Starting with 100 total pieces of paper in a package:
- Total pieces of paper: 100, 200, 300, 400, 500, ...
In this pattern, the total number of pieces of paper in each package increases by 100.
So, the two numerical patterns are:
1. Notebook packages: 2, 4, 6, 8, 10, ...
2. Total pieces of paper: 100, 200, 300, 400, 500, ...
You can continue these patterns by applying the respective rules: adding 2 for notebooks and adding 100 for total pieces of paper, to get the next terms in each pattern.