Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
9. Sequences, Series, & Induction
Sequences
1:48 minutes
Problem 82
Textbook Question
Textbook QuestionIn Exercises 81–85, use a calculator's factorial key to evaluate each expression. (300/20)!
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Factorial
The factorial of a non-negative integer n, denoted as n!, is the product of all positive integers from 1 to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120. Factorials are commonly used in permutations, combinations, and various mathematical calculations involving sequences.
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Division
Division is one of the four basic arithmetic operations, representing the process of determining how many times one number is contained within another. In the expression (300/20), the division yields 15, which is the value that will be used to calculate the factorial in the subsequent step.
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Calculator Functions
Modern calculators often include a factorial function, typically denoted by an exclamation mark (!). This function allows users to compute the factorial of a number quickly and efficiently, which is particularly useful for large numbers where manual calculation would be impractical.
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