Arithmetic operations include addition, subtraction, multiplication, division. Relational operations include different comparisons between numbers (or sometimes other data types). There are six relational operations: equal, not-equal, less-than, greater-than, less-than-or-equal, greater-than-or-equal.
One difference, which may help you remember the difference is that if you combine two numbers with an arithmetic operation, for example an addition, you get another number. On the other hand, if you compare two numbers, for example with "greater than", you are asking a question which will be answered with "yes" or "no" - which in computer languages are often called "true" and "false" or something similar.
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there is no difference between Mathematics and Arithmetic because Arithmetic is a branch of mathematics. there is no difference between Mathematics and Arithmetic because Arithmetic is a branch of mathematics.
You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.
The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".
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The sequence is arithmetic if the difference between every two consecutive terms is always the same.