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  1. The first pattern is such that the common difference between successive patterns is -5. The second pattern is such that the common difference between successive patterns is 7. So, the missing item is: Missing = 18 + 7. Missing = 25. Hence, the complete pattern is 7,11,2,18,-7, 25. Read more about arithmetic patterns at:

  2. One, kind of hand-wavey way to do it would be to calculate some amount of the first terms, try to spot the pattern and define the analytic expression. Another way to do it, presuming it's of the appropriate form, would be to use the first-order linear recurrence equation. ... So what is the nth term of the following sequence 1,2,4,7,11,16,22.

  3. Find the next number in the sequence (using difference table).. Please enter integer sequence (separated by spaces or commas): . Example ok sequences: 1, 2, 3, 4, 5 ...

  4. You must have seen that the first differences were 2,3,4,5,6 so a reasonable expectation is that the next difference and the next term are 7 and 29 respectively. That 7th term = 29 is therefore the first term of your progression, 2, plus the sum of the first 6 differences 2+3+4+5+6+7. The nth term will be the first term of your progression, 2 ...

  5. Let us see the formulas for n th term (a n) of different types of sequences in math. Arithmetic sequence: a n = a + (n - 1) d, where a = the first term and d = common difference. Geometric sequence: a n = ar n-1, where a = the first term and r = common ratio. Fibonacci sequence: a n+2 = a n+1 + a n.

  6. Sequence and series are the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas a series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series. In short, a sequence is a list of items/objects which have ...

  7. Find patterns in a list of numbers! Get the free "Pattern Finder" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.