Full text
... j s (-1)n if £ is odd but (-7) if /r is even. In particular, if k = 2, the sequence of Fibonacci numbers with even subscripts, { 0, 1, 3, 8, 21, •••} , gives a solution to un+iun„i - u2 = -1. Another solution \$un= n, since (n + Din - 1) - n2 = -1 for all n. Is there a sequence {un} of positive term ...
... j s (-1)n if £ is odd but (-7) if /r is even. In particular, if k = 2, the sequence of Fibonacci numbers with even subscripts, { 0, 1, 3, 8, 21, •••} , gives a solution to un+iun„i - u2 = -1. Another solution \$un= n, since (n + Din - 1) - n2 = -1 for all n. Is there a sequence {un} of positive term ...
Number Theory and Fractions Number Theory and Fractions
... 36. Critical Thinking Which pair of numbers has a GCD that is a prime number, 48 and 90 or 105 and 56? 37. Museum employees are preparing an exhibit of ancient coins. They have 49 copper coins and 35 silver coins to arrange on shelves. Each shelf will have the same number of copper coins and the sam ...
... 36. Critical Thinking Which pair of numbers has a GCD that is a prime number, 48 and 90 or 105 and 56? 37. Museum employees are preparing an exhibit of ancient coins. They have 49 copper coins and 35 silver coins to arrange on shelves. Each shelf will have the same number of copper coins and the sam ...
Math 365 Lecture Notes
... 1) Rational Number – Q = {a/b | a and b are integers and b 0} 2) Numerator – In the rational number a/b, a is the numerator. 3) Denominator – In the rational number a/b, b is the denominator 4) Fraction – derived from the Latin word fractus meaning “to break.” 5) Proper Fraction – A fraction a/b, ...
... 1) Rational Number – Q = {a/b | a and b are integers and b 0} 2) Numerator – In the rational number a/b, a is the numerator. 3) Denominator – In the rational number a/b, b is the denominator 4) Fraction – derived from the Latin word fractus meaning “to break.” 5) Proper Fraction – A fraction a/b, ...
I can find the GCF of two whole numbers less than or equal to 100.
... What is a GCF? The Greatest Common Factor (G.C.F.) of two numbers is the largest number that is a divisor of both. It can be used to simplify (or reduce) fractions. ...
... What is a GCF? The Greatest Common Factor (G.C.F.) of two numbers is the largest number that is a divisor of both. It can be used to simplify (or reduce) fractions. ...
TGBasMathP4_03_02
... Furthermore, suppose that of the sports coverage is about women’s teams. We can show that portion of the page by dividing the already colored region into two halves, and shading one of them in purple. ...
... Furthermore, suppose that of the sports coverage is about women’s teams. We can show that portion of the page by dividing the already colored region into two halves, and shading one of them in purple. ...
Chapter 12 Operations with Radicals
... 2. If the degree of accuracy is not specified in a question and a rational approximation is to be given, the approximation should be correct to two or more decimal places. For example, an exact answer is 2 1 "5. By using a calculator, a student discovers that 2 1 "5 is approximately 2 2.236067977 ...
... 2. If the degree of accuracy is not specified in a question and a rational approximation is to be given, the approximation should be correct to two or more decimal places. For example, an exact answer is 2 1 "5. By using a calculator, a student discovers that 2 1 "5 is approximately 2 2.236067977 ...
calc 9.3(10)
... Sums of Infinite Series • The sequence of numbers s1 , s2 , s3 , s4 , … can be viewed as a succession of approximations to the “sum” of the infinite series, which we want to be 1/3. As we progress through the sequence, more and more terms of the infinite series are used, and the approximations get ...
... Sums of Infinite Series • The sequence of numbers s1 , s2 , s3 , s4 , … can be viewed as a succession of approximations to the “sum” of the infinite series, which we want to be 1/3. As we progress through the sequence, more and more terms of the infinite series are used, and the approximations get ...
Manassas City Public Schools (4-19-07)
... A composite number is a natural number that has more than two different factors. One is neither prime nor composite because it has only one factor, itself. The prime factorization of a number is a representation of the number as the product of its prime factors. For example, the prime factoriz ...
... A composite number is a natural number that has more than two different factors. One is neither prime nor composite because it has only one factor, itself. The prime factorization of a number is a representation of the number as the product of its prime factors. For example, the prime factoriz ...
Chapter 2
... Mass: amount of matter in an object Mass is measured on a balance. Weight: effect of gravity on an object. Weight is measured on a scale, which measures force against a spring. Mass is independent of location, but weight is not. Mass is the standard measurement of the metric system. The SI unit of m ...
... Mass: amount of matter in an object Mass is measured on a balance. Weight: effect of gravity on an object. Weight is measured on a scale, which measures force against a spring. Mass is independent of location, but weight is not. Mass is the standard measurement of the metric system. The SI unit of m ...
Arithmetic
Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.