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in this video were going to talk about how to find the next term in a series of numbers so lets say if we have the numbers 2 5 8 11 and 14. what is the next number in the sequence now what we need to do is we need to look for a pattern what pattern do you see in each of these numbers notice that each number has a common difference of three to go from two to five you need to add three likewise to go from five to eight you need to add three five plus three is eight and eight plus three is eleven whenever you have a sequence that differs by a common number this is an arithmetic sequence if you can add or subtract by the same number you have an arithmetic sequence so 14 plus 3 will give us the next number 17. 17 plus 3 will give us the next number 20. so anytime you have a sequence that differs by repeated addition or uh subtraction its an arithmetic sequence now lets work on another example lets say if we have these numbers 5 9 13 17. whats the next number in the sequence find the
