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Answer :
Sure! Let's take a look at each pattern and determine the rule for each one.
### a. Pattern: 44, 45, 46, 47, 48
1. Starting at 44, the next number is 45, which is 1 more than 44.
2. Similarly, each subsequent number increases by 1.
Rule: Add 1 each time.
### b. Pattern: 44, 45, 24, 25.4
This sequence doesn't follow a clear and consistent arithmetic pattern. It seems to lack a uniform rule throughout the entire pattern.
Rule: It follows no clear arithmetic rule.
### c. Pattern: 44, 45, 46, 74, 84
1. The sequence starts with 44, increases by 1 to reach 45.
2. It again increases by 1 to reach 46.
3. The next number changes more drastically to 74, which suggests an increase affecting the tens place.
4. Finally, it increases by 10 to reach 84.
Rule: Increase the tens place.
### d. Pattern: 42, 43, 42, 43, 40
1. The sequence alternates initially between 42 and 43.
2. There is no strict pattern after this alternation, but it seems to follow a similar concept twice.
Rule: Alternates between 42 and 43.
### e. Pattern: 42, 43, 44, 34, 35
1. The pattern increases by 1 up to 44.
2. Then it decreases by 10 to give 34.
3. Finally, it increases by 1 to reach 35.
Rule: Add 1 until 44, then ten less.
### f. Pattern: 41, 42, 43, 38, 37
1. Initially, the pattern increases by 1: from 41 to 42, then to 43.
2. Then the pattern decreases by 5, dropping to 38.
3. Finally, it decreases by 1, reaching 37.
Rule: Decrease by 1, Increase by 1, then -5.
I hope these explanations help you understand the rules behind each pattern! If you have any more questions or need further clarification, feel free to ask!
### a. Pattern: 44, 45, 46, 47, 48
1. Starting at 44, the next number is 45, which is 1 more than 44.
2. Similarly, each subsequent number increases by 1.
Rule: Add 1 each time.
### b. Pattern: 44, 45, 24, 25.4
This sequence doesn't follow a clear and consistent arithmetic pattern. It seems to lack a uniform rule throughout the entire pattern.
Rule: It follows no clear arithmetic rule.
### c. Pattern: 44, 45, 46, 74, 84
1. The sequence starts with 44, increases by 1 to reach 45.
2. It again increases by 1 to reach 46.
3. The next number changes more drastically to 74, which suggests an increase affecting the tens place.
4. Finally, it increases by 10 to reach 84.
Rule: Increase the tens place.
### d. Pattern: 42, 43, 42, 43, 40
1. The sequence alternates initially between 42 and 43.
2. There is no strict pattern after this alternation, but it seems to follow a similar concept twice.
Rule: Alternates between 42 and 43.
### e. Pattern: 42, 43, 44, 34, 35
1. The pattern increases by 1 up to 44.
2. Then it decreases by 10 to give 34.
3. Finally, it increases by 1 to reach 35.
Rule: Add 1 until 44, then ten less.
### f. Pattern: 41, 42, 43, 38, 37
1. Initially, the pattern increases by 1: from 41 to 42, then to 43.
2. Then the pattern decreases by 5, dropping to 38.
3. Finally, it decreases by 1, reaching 37.
Rule: Decrease by 1, Increase by 1, then -5.
I hope these explanations help you understand the rules behind each pattern! If you have any more questions or need further clarification, feel free to ask!
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