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What is the sum of four consecutive integers which are positive?
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What is the sum of four consecutive integers which are positive?
Solution:
Finding the Consecutive Integers:
- Let the four consecutive integers be x, x+1, x+2, and x+3.
Finding the Sum:
- The sum of four consecutive integers is given by x + (x+1) + (x+2) + (x+3).
- Simplifying, we get 4x + 6.
Sum of Positive Consecutive Integers:
- To find the sum of positive consecutive integers, we need to ensure that the smallest integer (x) is positive.
- If x is positive, then x+1, x+2, and x+3 will also be positive.
Example:
- Let's say the smallest integer x = 2.
- The consecutive integers will be 2, 3, 4, and 5.
- Sum = 2 + 3 + 4 + 5 = 14.
Conclusion:
- Therefore, the sum of four consecutive positive integers will always be a multiple of 4, with the smallest integer as a positive number.
Finding the Consecutive Integers:
- Let the four consecutive integers be x, x+1, x+2, and x+3.
Finding the Sum:
- The sum of four consecutive integers is given by x + (x+1) + (x+2) + (x+3).
- Simplifying, we get 4x + 6.
Sum of Positive Consecutive Integers:
- To find the sum of positive consecutive integers, we need to ensure that the smallest integer (x) is positive.
- If x is positive, then x+1, x+2, and x+3 will also be positive.
Example:
- Let's say the smallest integer x = 2.
- The consecutive integers will be 2, 3, 4, and 5.
- Sum = 2 + 3 + 4 + 5 = 14.
Conclusion:
- Therefore, the sum of four consecutive positive integers will always be a multiple of 4, with the smallest integer as a positive number.
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What is the sum of four consecutive integers which are positive? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about What is the sum of four consecutive integers which are positive? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the sum of four consecutive integers which are positive?.
What is the sum of four consecutive integers which are positive? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about What is the sum of four consecutive integers which are positive? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the sum of four consecutive integers which are positive?.
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