User:
• Matrices
• Algebra
• Geometry
• Funciones
• Trigonometry
• Coordinate geometry
• Combinatorics
 Suma y resta Producto por escalar Producto Inversa
 Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equations Matrices Determinants Inverse of a matrix Logarithmic equations Systems of 3 variables equations
 2-D Shapes Areas Pythagorean Theorem Distances
 Graphs Definition of slope Positive or negative slope Determine slope of a line Ecuación de una recta Equation of a line (from graph) Quadratic function Posición relativa de dos rectas Asymptotes Limits Distancias Continuity and discontinuities
 Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric identities Law of cosines Law of sines
 Ecuación de una recta Posición relativa de dos rectas Distancias Angles in space Inner product

 Number sequences Number sequences: word problems You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the total distance the object will fall in 6 seconds? Arithmetic sequence. an=a1+(n-1)d an=16+(6-1)32=176 The 6th term is 176. Now we are ready to find the sum: $S_n=\frac{n(a_1+a_n)}{2}$ $S_6=\frac{6(16+176)}{2}=576\;feet$ After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it before you are up to jogging 60 minutes per day? Adding 6 minutes to the weekly jogging time for each week creates the sequence: 12, 18, 24,... This sequence is arithmetic. an=a1+(n-1)d 60=12+(n-1)6 60=12+6n-6 60-12+6=6n 54=6n n=9