The sum of a certain number of consecutive non-negative integers is 2500. Can you find an example of these numbers? Is the solution unique? If yes, explain why. If no, how many solutions are there? *Remember, that the number of terms must be an integer.* P.S. There exists 4 solutions: a=43, n=40; a=88, n=25; a=309, n=8; a=498, n=5; But what is the formal mathematical proof for this?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
The sum of a certain number of consecutive non-negative integers is 2500. Can you find an example of these numbers? Is the solution unique? If yes, explain why. If no, how many solutions are there?
*Remember, that the number of terms must be an integer.*
P.S. There exists 4 solutions:
a=43, n=40;
a=88, n=25;
a=309, n=8;
a=498, n=5;
But what is the formal mathematical proof for this?
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