AwesomeMath Admission Test Cover Sheet Your Name Admission Test Check one
... 3. Find the least n such that 1 + 2 + . . . + n is divisible by 2013. 4. Is there a 14-digit perfect square of the form 2013abcdef ghij, where a, b, c, d, e, f , g, h, i, j are all distinct? 5. What is the greatest common divisor of the numbers 29 − 2, 39 − 3, . . ., ...
... 3. Find the least n such that 1 + 2 + . . . + n is divisible by 2013. 4. Is there a 14-digit perfect square of the form 2013abcdef ghij, where a, b, c, d, e, f , g, h, i, j are all distinct? 5. What is the greatest common divisor of the numbers 29 − 2, 39 − 3, . . ., ...
n - MMLab
... Trial Solutions • If the extra terms F(n) are a degree-t polynomial in n, you should try a degree-t polynomial as the particular solution p(n). • This case: F(n) is linear so try an = cn + d. cn+d = 3(c(n−1)+d) + 2n (for all n) (−2c+2)n + (3c−2d) = 0 (collect terms) So c = 1 and d = 3/2. So an = n ...
... Trial Solutions • If the extra terms F(n) are a degree-t polynomial in n, you should try a degree-t polynomial as the particular solution p(n). • This case: F(n) is linear so try an = cn + d. cn+d = 3(c(n−1)+d) + 2n (for all n) (−2c+2)n + (3c−2d) = 0 (collect terms) So c = 1 and d = 3/2. So an = n ...
Section 2.1
... Note: 1.) use an open circle when graphing inequalities containing < or >. 2.) use a closed circle when graphing inequalities containing or . So to solve inequalities, we’re basically doing the same steps as the ones used in solving equations with 1 exception: Multiplying or dividing by a negati ...
... Note: 1.) use an open circle when graphing inequalities containing < or >. 2.) use a closed circle when graphing inequalities containing or . So to solve inequalities, we’re basically doing the same steps as the ones used in solving equations with 1 exception: Multiplying or dividing by a negati ...
2-4 Rational Numbers
... Comparison Property of Rational Numbers a c For any rational number and b d a c ...
... Comparison Property of Rational Numbers a c For any rational number and b d a c ...
Name
... If A, B, and C are matrices, give examples if the associative and commutative properties of addition and multiplication. Which are true for matrices, and which are false? ...
... If A, B, and C are matrices, give examples if the associative and commutative properties of addition and multiplication. Which are true for matrices, and which are false? ...
