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If you start with the number 2 and keep adding 2, what sequence are you creating?
- a)Odd numbers
- b)Square numbers
- c)Even numbers
- d)Prime numbers
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If you start with the number 2 and keep adding 2, what sequence are yo...
Adding 2 repeatedly to the number 2 creates a sequence of even numbers (2, 4, 6, 8, and so on). This is because even numbers are separated by a difference of 2.
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If you start with the number 2 and keep adding 2, what sequence are yo...
Understanding the Sequence
When you start with the number 2 and keep adding 2, you are creating a specific sequence of numbers. Let's break this down:
Starting Point
- The sequence begins at 2.
- The next numbers are obtained by continuously adding 2.
Generating the Sequence
- 2 (starting number)
- 2 + 2 = 4
- 4 + 2 = 6
- 6 + 2 = 8
- 8 + 2 = 10
- And so on...
Identifying the Pattern
- The resulting numbers are: 2, 4, 6, 8, 10, 12, ...
- Notice that all these numbers are even.
Why It's Even Numbers
- An even number is defined as any integer that can be divided by 2 without leaving a remainder.
- All the numbers in our sequence (2, 4, 6, 8, 10, ...) meet this criterion.
Why Other Options Are Incorrect
- a) Odd numbers: These are numbers like 1, 3, 5, 7, etc., which cannot be formed by adding 2 to an even number.
- b) Square numbers: These are numbers like 1, 4, 9, 16, etc., which are the squares of integers, not a result of adding 2.
- d) Prime numbers: While 2 is prime, numbers like 4, 6, 8, and 10 are not, as they have divisors other than 1 and themselves.
Conclusion
Thus, the correct answer is (c) Even numbers, as starting with 2 and repeatedly adding 2 produces a sequence exclusively made up of even integers.
When you start with the number 2 and keep adding 2, you are creating a specific sequence of numbers. Let's break this down:
Starting Point
- The sequence begins at 2.
- The next numbers are obtained by continuously adding 2.
Generating the Sequence
- 2 (starting number)
- 2 + 2 = 4
- 4 + 2 = 6
- 6 + 2 = 8
- 8 + 2 = 10
- And so on...
Identifying the Pattern
- The resulting numbers are: 2, 4, 6, 8, 10, 12, ...
- Notice that all these numbers are even.
Why It's Even Numbers
- An even number is defined as any integer that can be divided by 2 without leaving a remainder.
- All the numbers in our sequence (2, 4, 6, 8, 10, ...) meet this criterion.
Why Other Options Are Incorrect
- a) Odd numbers: These are numbers like 1, 3, 5, 7, etc., which cannot be formed by adding 2 to an even number.
- b) Square numbers: These are numbers like 1, 4, 9, 16, etc., which are the squares of integers, not a result of adding 2.
- d) Prime numbers: While 2 is prime, numbers like 4, 6, 8, and 10 are not, as they have divisors other than 1 and themselves.
Conclusion
Thus, the correct answer is (c) Even numbers, as starting with 2 and repeatedly adding 2 produces a sequence exclusively made up of even integers.
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If you start with the number 2 and keep adding 2, what sequence are you creating?a)Odd numbersb)Square numbersc)Even numbersd)Prime numbersCorrect answer is option 'C'. Can you explain this answer?
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