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www.mathsisfun.com/numberpatterns.html

Common Number Patterns Numbers can have interesting patterns. Here we list the most common patterns and how they are made. Arithmetic Sequences. An Arithmetic Sequence is made by adding the same value each time.

mathigon.org/course/sequences

A sequence is a list of numbers, geometric shapes or other objects, that follow a specific pattern. The individual items in the sequence are called terms, and represented by variables like x n. A recursive formula for a sequence tells you the value of the nth term as a function of its previous terms the first term.

www.quickanddirtytips.com/education/math/how-to-look-for-patterns-in-numbers

How to Look for Patterns in Numbers. To gain a fresh perspective on our puzzle, let’s try a completely different tact: Imagine you have several groups of blocks. Besides having a solitary block, you also have three other groups of blocks arranged in straight lines: a 4 block strand, a 9 block strand, and a 16 block strand.

Teaching students to identify and comprehend number patterns goes beyond fundamental arithmetic skills and teaches logic and pattern recognition skills as well. In a typical number pattern problem, a student is given a sequence of numbers and then has to describe the rule or pattern that generates the numbers.

www.onlinemathlearning.com/number-sequence.html

Number sequence (i) is a list of numbers without order or pattern. You cannot tell what number comes after 5. Number sequence (ii) has a pattern. Do you observe that each number is obtained by adding 3 to the preceding number (i.e. the number just before it)? In this section, we will only study number sequences with patterns . Some other ...

Learn how to spot a pattern in a sequence of numbers, such as 3, 6, 9, 12... Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacad...

mathigon.org/course/sequences/figurate

The resulting number sequences are called polygonal numbers. For example, if we use polygons with \${k} sides, we get the sequence of \${polygonName(k)} numbers. Can you find recursive and explicit formulas for the nth polygonal number that has k sides? And do you notice any other interesting patterns for larger polygons?