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In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?
- a)3
- b)10
- c)7
- d)5
Correct answer is option 'A'. Can you explain this answer?
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In the number sequence for Collatz Conjecture starting with 12, what i...
According to the Collatz Conjecture, if a number is even, it is divided by 2. The next number after 6 (which is even) is 6 ÷ 2 = 3.
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In the number sequence for Collatz Conjecture starting with 12, what i...
Understanding the Collatz Conjecture
The Collatz Conjecture is a sequence defined as follows:
- Start with any positive integer.
- If the number is even, divide it by 2.
- If the number is odd, multiply it by 3 and add 1.
- Repeat the process for the resulting number.
Starting with 12
Let's see how the sequence progresses starting with 12:
- 12 (even) → 12 / 2 = 6
- 6 (even) → 6 / 2 = 3
Next Number After 6
Now, we need to find the next number after 6:
- 6 is even, so we divide it by 2:
- 6 / 2 = 3
Thus, after 6, the next number in the sequence is 3.
Options Analysis
Let's review the given options:
- a) 3 (correct answer)
- b) 10 (incorrect)
- c) 7 (incorrect)
- d) 5 (incorrect)
Conclusion
The next number after 6 in the Collatz sequence starting from 12 is indeed 3, making option 'A' the correct choice. This process illustrates how the Collatz Conjecture works, demonstrating the sequence's fascinating and simple rule-based nature.
The Collatz Conjecture is a sequence defined as follows:
- Start with any positive integer.
- If the number is even, divide it by 2.
- If the number is odd, multiply it by 3 and add 1.
- Repeat the process for the resulting number.
Starting with 12
Let's see how the sequence progresses starting with 12:
- 12 (even) → 12 / 2 = 6
- 6 (even) → 6 / 2 = 3
Next Number After 6
Now, we need to find the next number after 6:
- 6 is even, so we divide it by 2:
- 6 / 2 = 3
Thus, after 6, the next number in the sequence is 3.
Options Analysis
Let's review the given options:
- a) 3 (correct answer)
- b) 10 (incorrect)
- c) 7 (incorrect)
- d) 5 (incorrect)
Conclusion
The next number after 6 in the Collatz sequence starting from 12 is indeed 3, making option 'A' the correct choice. This process illustrates how the Collatz Conjecture works, demonstrating the sequence's fascinating and simple rule-based nature.
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In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer?
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In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer?.
In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?a)3b)10c)7d)5Correct answer is option 'A'. Can you explain this answer?.
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