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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.
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What is the sum of four consecutive integers which are positive?
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