Ch11 - ClausenTech
... Sequence: is an ordered set of numbers which could be defined as a function whose domain (x-values) consists of consecutive positive integers and the corresponding value is the range (y-values) of the sequence. Term number: is an ordered set of numbers which could be defined as a function whose doma ...
... Sequence: is an ordered set of numbers which could be defined as a function whose domain (x-values) consists of consecutive positive integers and the corresponding value is the range (y-values) of the sequence. Term number: is an ordered set of numbers which could be defined as a function whose doma ...
x| • |y
... Only works for a finite number of cases. The standard approach to try. Contrapositive Assume Q, deduce P Use if Q as a (Indirect) Proof hypothesis seems to give more information to work with. ...
... Only works for a finite number of cases. The standard approach to try. Contrapositive Assume Q, deduce P Use if Q as a (Indirect) Proof hypothesis seems to give more information to work with. ...
Full text
... (1) If/? is of the form 1Qk+ 1, then the penultimate digit is odd. (2) If p is of the form 10/r + 3, then the penultimate digit is even. The beauty of these relationships is that, by inspection alone, one may instantly observe whether or not a prime number is = 1, or = 3 (mod 4). These relationships ...
... (1) If/? is of the form 1Qk+ 1, then the penultimate digit is odd. (2) If p is of the form 10/r + 3, then the penultimate digit is even. The beauty of these relationships is that, by inspection alone, one may instantly observe whether or not a prime number is = 1, or = 3 (mod 4). These relationships ...
1.5 Square Roots. Compare and order real numbers.
... 1.5 Square Roots. Compare and order real numbers. Numbers such as 1, 4, 9, 16, and 25 are called perfect squares, because they are squares of whole numbers. A square root _ of a number is one of its two equal factors. 4 · 4 = 16, so 4 is the square root of 16. The symbol √ ...
... 1.5 Square Roots. Compare and order real numbers. Numbers such as 1, 4, 9, 16, and 25 are called perfect squares, because they are squares of whole numbers. A square root _ of a number is one of its two equal factors. 4 · 4 = 16, so 4 is the square root of 16. The symbol √ ...
