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Goemetric sequence : A sequence is a goemetric sequence if an/an-1is the same non-zero number for all natural numbers greater than 1. Arithmetic sequence : A sequence {an} is an arithmetic sequence if an-an-1 is the same number for all natural numbers greater than 1.
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
"A shark peeling a banana before eating it" is a non example - of most anything!
An arithmetic sequence in one in which consecutive terms differ by a fixed amount,or equivalently, the next term can found by adding a fixed amount to the previous term. Example of an arithmetic sequence: 2 7 12 17 22 ... Here the the fixed amount is 5. I suppose any other type of sequence could be called non arithmetic, but I have not heard that expression before. Another useful kind of sequence is called geometric which is analogous to arithmetic, but multiplication is used instead of addition, i.e. to get the next term, multiply the previous term by some fixed amount. Example: 2 6 18 54 162 ... Here the muliplier is 3.
Another word for subtraction could be difference. Ex: What is the difference between 24 and 12? Other non-arithmetic synonyms are removal or deletion.
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