Situation 39: Summing Natural Numbers
... A symbolic manipulation of the formula for the sum of the first n natural numbers using even and odd numbers for n can be found in the appendix. Mathematical Focus 2 Specific examples suggest a general formula for the sum of the first n natural numbers. Strategic choices for pair-wise grouping of n ...
... A symbolic manipulation of the formula for the sum of the first n natural numbers using even and odd numbers for n can be found in the appendix. Mathematical Focus 2 Specific examples suggest a general formula for the sum of the first n natural numbers. Strategic choices for pair-wise grouping of n ...
2015 Junior Solutions
... It is easy to rule out four of the options using the fact that a product of integers is divisible by a prime number p if, and only if, at least one of the integers making up the product is divisible by p. [See Problem 15.2 for an example to show this statement is not in general true if p is not a pr ...
... It is easy to rule out four of the options using the fact that a product of integers is divisible by a prime number p if, and only if, at least one of the integers making up the product is divisible by p. [See Problem 15.2 for an example to show this statement is not in general true if p is not a pr ...
College Algebra I
... • Why do I put parenthesis around both numbers? Because we don’t usually put +- next to each other. Historical and for clarity. It would look like –10+-5 = -15 • We do sometimes just drop the + sign • (-10) + (-5) = -10-5 = -15 (oh! That makes it easier). ...
... • Why do I put parenthesis around both numbers? Because we don’t usually put +- next to each other. Historical and for clarity. It would look like –10+-5 = -15 • We do sometimes just drop the + sign • (-10) + (-5) = -10-5 = -15 (oh! That makes it easier). ...
Full text
... In this section we extend our results concerning squares and cubes of prime order to n-dimensional hypercubes of prime order. A Latin hypercube A of dimension n and order p i s a p x p x •.. x p array with the property that each of the pn elements a^ in is one of the numbers 1, 2, ..., p and {ai1.,a ...
... In this section we extend our results concerning squares and cubes of prime order to n-dimensional hypercubes of prime order. A Latin hypercube A of dimension n and order p i s a p x p x •.. x p array with the property that each of the pn elements a^ in is one of the numbers 1, 2, ..., p and {ai1.,a ...
2 - Mr. Hood
... In a term that is the product of a number and a variable, the number is called the coefficient of the variable. – 1 is the coefficient of x ...
... In a term that is the product of a number and a variable, the number is called the coefficient of the variable. – 1 is the coefficient of x ...
