First Round Dutch Mathematical Olympiad
... since then at least 5 + 1 + 20 + 1 + 5 = 32 people would be standing in line. The other positions are indeed possible. Here we only show this for answer C: James and Paul staan naast elkaar. Number the people in increasing height from 1 to 30. Put numbers 1, 2, 3, 4 and 10 in one row and put one of ...
... since then at least 5 + 1 + 20 + 1 + 5 = 32 people would be standing in line. The other positions are indeed possible. Here we only show this for answer C: James and Paul staan naast elkaar. Number the people in increasing height from 1 to 30. Put numbers 1, 2, 3, 4 and 10 in one row and put one of ...
Comparing and Ordering Rational Numbers
... A RATIONAL NUMBER is a number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator. ...
... A RATIONAL NUMBER is a number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator. ...
THE WHOLE NUMBERS - bilingual project fiñana
... there between the restaurant (1) and the gymnasium (-1)? ...
... there between the restaurant (1) and the gymnasium (-1)? ...
2.4 Solve Polynomial Inequalities
... A polynomial inequality in one variable can be written as one of the following: 1. anxn, an-1xn-1 +…+a1x + a0 < 0 2. anxn, an-1xn-1 +…+a1x + a0 > 0 3. anxn, an-1xn-1 +…+a1x + a0 < 0 4. anxn, an-1xn-1 +…+a1x + a0 > 0 where an = 0 ...
... A polynomial inequality in one variable can be written as one of the following: 1. anxn, an-1xn-1 +…+a1x + a0 < 0 2. anxn, an-1xn-1 +…+a1x + a0 > 0 3. anxn, an-1xn-1 +…+a1x + a0 < 0 4. anxn, an-1xn-1 +…+a1x + a0 > 0 where an = 0 ...
Full text
... To obtain a partial generalization of Theorem II of Horadam and the corresponding proposition of 5ubbaRao,we first define {U^} * a fundamental sequence of order r; we illustrate its fundamental nature by showing that any linear recursive sequence of order v can be expressed in terms of {U^}. We defi ...
... To obtain a partial generalization of Theorem II of Horadam and the corresponding proposition of 5ubbaRao,we first define {U^} * a fundamental sequence of order r; we illustrate its fundamental nature by showing that any linear recursive sequence of order v can be expressed in terms of {U^}. We defi ...
4-3: Alternating Series, and the Alternating Series Theorem
... • Definition: A series is called Pan alternating series if the terms alternate in sign. That is, an alternating series is a series of the form (−1)k+1 ak where ak > 0 for all k. • The series above is thus an example of an alternating series, and is called the alternating harmonic series. • The idea ...
... • Definition: A series is called Pan alternating series if the terms alternate in sign. That is, an alternating series is a series of the form (−1)k+1 ak where ak > 0 for all k. • The series above is thus an example of an alternating series, and is called the alternating harmonic series. • The idea ...
Digital Subsequences
... The first few elements of this sequence are 2,1,3,4,7, Ii, 18,29,47,76,123,199, ... A number is an element of the Lucas-partial-digital subsequence if it is a Lucas number and the digits can be partioned into three groups such that the third group, moving left to right, is the sum of the first two g ...
... The first few elements of this sequence are 2,1,3,4,7, Ii, 18,29,47,76,123,199, ... A number is an element of the Lucas-partial-digital subsequence if it is a Lucas number and the digits can be partioned into three groups such that the third group, moving left to right, is the sum of the first two g ...
