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Continue each number pattern on the lines. Then, write each rule.

1. [tex]\( 300, 400, 500, 600, 700, 800, 900, 1000 \)[/tex]

Rule: Add 100 to the previous number.

2. [tex]\( 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 \)[/tex]

Rule: Add 10 to the previous number.

3. [tex]\( 10, 15, 20, 25, 30, 35, 40, 45, 50 \)[/tex]

Rule: Add 5 to the previous number.


Sagot :

Absolutely, let's walk through each of these number patterns to identify the rules and complete the sequences step by step.

### Pattern 1: 300, 400, 500, 600, 700, 800, 900, 1000

Step-by-Step Solution:
1. List the given numbers:
300, 400, 500, 600, 700, 800, 900, 1000

2. Identify the pattern:
Each number is increasing by 100.

3. Continue the pattern:
300 + 100 = 400
400 + 100 = 500
500 + 100 = 600
600 + 100 = 700
700 + 100 = 800
800 + 100 = 900
900 + 100 = 1000

4. Write the rule:
Start at 300 and add 100 each time.

Final Pattern:
300, 400, 500, 600, 700, 800, 900, 1000

Rule:
Start at 300 and add 100.

### Pattern 2: 10, 20, 30, 40, 50, 60, 70, 80, 90

Step-by-Step Solution:
1. List the given numbers:
10, 20, 30, 40, 50, 60, 70, 80, 90

2. Identify the pattern:
Each number is increasing by 10.

3. Continue the pattern:
10 + 10 = 20
20 + 10 = 30
30 + 10 = 40
40 + 10 = 50
50 + 10 = 60
60 + 10 = 70
70 + 10 = 80
80 + 10 = 90

4. Write the rule:
Start at 10 and add 10 each time.

Final Pattern:
10, 20, 30, 40, 50, 60, 70, 80, 90

Rule:
Start at 10 and add 10.

### Pattern 3: 10, 15, 20, 30, 40, 50, 60, 70

Step-by-Step Solution:
1. List the given numbers:
10, 15, 20, 30, 40, 50, 60, 70

2. Identify the pattern:
- The first step increases by 5: 10 to 15.
- The second step increases by 5: 15 to 20.
- From the third step onward, each number increases by 10.

3. Continue the pattern:
10 + 5 = 15
15 + 5 = 20
20 + 10 = 30
30 + 10 = 40
40 + 10 = 50
50 + 10 = 60
60 + 10 = 70

4. Write the rule:
Start at 10, add 5, then add 10 each time starting from 20.

Final Pattern:
10, 15, 20, 30, 40, 50, 60, 70

Rule:
Start at 10, add 5, then add 10 each time starting from 20.
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