You can see a pattern because the numbers are in a sequence or order that your brain can process and figure out what the pattern is.Although it may be harder for some patterns, somebody can always figure it out.For example: 2,4,8,16,32,64.... You can see that 2 plus 2 is 4 and 4 plus 4 is eight and it just keeps on going.I am a master at solving these. Now i dont want to keep writing and writing, so il just tell you a short story. Jenny had 9 dimes and then had 18. Then she got 27. Can you see a pattern going on? Your brain just processed the numbers then found how they are alike. Then, you realized that 9 times 2 is 18. Plus another 9 (9 times 3) is the 27.So whenever you see a pattern, recall that your brain is working to figure out how the numbers go together.
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To check whether it is an arithmetic sequence, verify whether the difference between two consecutive numbers is always the same.To check whether it is a geometric sequence, verify whether the ratio between two consecutive numbers is always the same.
A sequence.
Since a given sequence of numbers can be designed to follow any rule, you have to use a system of trial and error to see if you can discover the rule. Sometimes the rule is obvious, sometimes it is extremely complicated. Try to invent a rule which would produce the sequence that you observe.
They are a sequence of numbers and each sequence has a term number.
The next number is 70.The sequence is the central spine numbers of Pascal's Triangle (see related link and related question below).