P Prerequisites 1 Equations, Inequalities, And Mathematical Modeling 2 Functions And Their Graphs 3 Polynomial Functions 4 Rational Functions And Conics 5 Exponential And Logarithmic Functions 6 Systems Of Equations And Inequalities 7 Matrices And Determinants 8 Sequences, Series,and Probability A Errors And The Algebra Of Calculus expand_more
8.1 Sequences And Series 8.2 Arithmetic Sequences And Partial Sums 8.3 Geometric Sequences And Series 8.4 Mathematical Induction 8.5 The Binomial Theorem 8.6 Counting Principles 8.7 Probability Chapter Questions expand_more
Problem 1ECP: Find each binomial coefficient. a.115b.c92c.50d.c1515 Problem 2ECP Problem 3ECP Problem 4ECP Problem 5ECP Problem 6ECP Problem 7ECP Problem 1E Problem 2E Problem 3E Problem 4E Problem 5E: Finding a Binomial Coefficient In Exercises 5-12, find the binomial coefficient. C53 Problem 6E Problem 7E: Finding a Binomial Coefficient In Exercises 5-12, find the binomial coefficient. C120 Problem 8E Problem 9E: Finding a Binomial Coefficient In Exercises 5-12, find the binomial coefficient. 104 Problem 10E Problem 11E: Finding a Binomial Coefficient In Exercises 5-12, find the binomial coefficient. 10098 Problem 12E Problem 13E: Using Pascal’s Triangle In Exercises 13-16, evaluate using Pascal’s Triangle. C63 Problem 14E Problem 15E: Using Pascal’s Triangle In Exercises 13-16, evaluate using Pascal’s Triangle. 15 Problem 16E Problem 17E: Expanding a Binomial In Exercises 17-24, use the Binomial Theorem to write the expansion of the... Problem 18E Problem 19E: Expanding a Binomial In Exercises 17-24, use the Binomial Theorem to write the expansion of the... Problem 20E Problem 21E: Expanding a Binomial In Exercises 17-24, use the Binomial Theorem to write the expansion of the... Problem 22E Problem 23E: Expanding a Binomial In Exercises 17-24, use the Binomial Theorem to write the expansion of the... Problem 24E Problem 25E: Expanding an Expression In Exercises 25-38, expand the expression by using Pascal’s Triangle to... Problem 26E Problem 27E: Expanding an Expression In Exercises 25-38, expand the expression by using Pascal’s Triangle to... Problem 28E Problem 29E: Expanding an Expression In Exercises 25-38, expand the expression by using Pascal’s Triangle to... Problem 30E: Expanding an Expression In Exercises 25-38, expand the expression by using Pascal’s Triangle to... Problem 31E: Expanding an Expression In Exercises 25-38, expand the expression by using Pascal’s Triangle to... Problem 32E: Expanding an Expression In Exercises 25-38, expand the expression by using Pascal’s Triangle to... Problem 33E: Expanding an Expression In Exercises 25-38, expand the expression by using Pascal’s Triangle to... Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E: Finding a Term In Exercises 39-46, find the specified nth term in the expansion of the binomial.... Problem 46E Problem 47E Problem 48E Problem 49E: Finding a Coefficient In Exercises 47-54, find the coefficient a of the term in the expansion of the... Problem 50E Problem 51E: Finding a Coefficient In Exercises 47-54, find the coefficient a of the term in the expansion of the... Problem 52E Problem 53E Problem 54E Problem 55E: Expanding an Expression In Exercises 55-60, use the Binomial Theorem to write the expansion of the... Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E: Simplifying a Difference Quotient In Exercises 61-66, simplify the difference quotient, using the... Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E: Expanding a Complex Number In Exercises 67-72, use the Binomial Theorem to expand the complex... Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E: Approximation In Exercises 73-76, use the Binomial Theorem to approximate the quantity accurate to... Problem 76E Problem 77E Problem 78E Problem 79E: Probability In Exercises 77-80, consider n independent trials of an experiment in which each trial... Problem 80E Problem 81E Problem 82E Problem 83E: Finding a Pattern Describe the pattern formed by the sums of the numbers along the diagonal line... Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E: In Exercises 93-96, prove the property for all integers r and n, where 0rn. The sum of the numbers... Problem 97E: Binomial Coefficients and Pascal’s Triangle Complete the table. What characteristic of Pascal’s... format_list_bulleted