Day 2 examples u7w14
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Factorial notation represents the product of all positive integers less than or equal to the given number. For example, 5! = 5 x 4 x 3 x 2 x 1 and 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. The document also provides examples of simplifying factorials without a calculator by using properties such as 5! + 4! = 6 x 4! and (k + 1)! + k! = (k + 2)k!.
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Factorial notation represents the product of all positive integers less than or equal to the given number. It is expressed as n!, where n is a non-negative integer. Some key properties are that 0! = 1, n! can be expressed as n multiplied by (n-1)!, and expressions like (k+1)! + k! can be simplified to (k+2)k!.New day 2 examples
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Factorial notation represents the product of all positive integers less than or equal to the given number. It is represented by an exclamation point after the number. For example, 5! means 5 x 4 x 3 x 2 x 1. The document provides examples of calculating factorials and properties such as 0! = 1 and n! = n x (n-1)!. It also gives examples of simplifying factorials without a calculator by using properties like 5! + 4! = 6 x 4!.Day 1 examples u3w14
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- 1. Factorial Notation! n! reads "n factorial" 5! = 8! = n! = n(n - 1)(n - 2)(n - 3)... How about 0! = 1 Likewise, n! = n(n - 1)! or 8! = 8 · 7! is a natural number
- 2. Simplify without a calculator: Show 5! + 4! = 6 · 4! Show (k + 1)! + k! = (k + 2)k!