Factorials Practice

Front

What is a factorial?

Back

A factorial, denoted as n!, is the product of all positive integers from 1 to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

What is the value of 0! ?

Back

0! is defined to be 1.

Front

How do you calculate n! for a positive integer n?

Back

To calculate n!, multiply all whole numbers from n down to 1. For example, 4! = 4 × 3 × 2 × 1 = 24.

Front

What is the relationship between (n+1)! and n!?

Back

(n+1)! = (n+1) × n!.

Front

What is the explicit formula for the factorial of a number n?

Back

The explicit formula for n! is n! = n × (n-1) × (n-2) × ... × 2 × 1.

Front

What is the value of 5! ?

Back

5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

What is the value of 3! ?

Back

3! = 3 × 2 × 1 = 6.

Front

What is the value of 1! ?

Back

1! = 1.

Front

What is the value of 2! ?

Back

2! = 2 × 1 = 2.

Front

How do you find the first four terms of a sequence defined by a factorial?

Back

To find the first four terms, substitute n = 1, 2, 3, and 4 into the sequence formula and calculate.