Have you ever come across a sequence of numbers and wondered what the pattern or sequence is? Let's take a look at the series: 1, 3, 12, 60, 360, 2520. What sequence is this the start of?
Upon closer examination, we can see that each number in the sequence is a multiple of the previous number. For example, 3 is 3 times 1, 12 is 4 times 3, 60 is 5 times 12, and so on. This pattern suggests that the sequence is a factorial sequence, where each number is the product of the previous number and the next integer.
If we continue this pattern, the next number in the sequence would be 2520 multiplied by 7, which equals 17,640. This sequence is known as the factorial sequence, where each number is the product of the previous number and the next integer.
If you want to learn more about factorial sequences and how they are calculated, you can visit this Math is Fun page for more information. Understanding number sequences and patterns can be a fun and challenging exercise for math enthusiasts.
Factorial sequences are just one example of the many interesting number sequences that exist in mathematics. By studying and analyzing these sequences, we can gain a deeper understanding of mathematical concepts and principles.
So, the next time you come across a sequence of numbers like 1, 3, 12, 60, 360, 2520, remember to look for patterns and relationships between the numbers. You never know what fascinating sequence you might uncover!
For more information on number sequences and mathematics, you can explore the resources provided by Khan Academy for a comprehensive guide to mathematical concepts and theories.
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