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    An important axiom (fact) of arithmetic states that multiplication “distributes” over addition. That is, for any three numbers, A, B and C, A(B + C) = AB + AC. If signed number arithmetic is to be consistent with the arithmetic of nonnegative numbers, this axiom must continue to hold. In particular, if A and B are positive,
    2.6. The development and history of arithmetic can be summarized as follows: humans started to count with natural numbers, dealt with positive fractions, reluctantly introduced negative numbers and zero to get the integers.
    Divide both sides of the resulting equation by the number multiplying the unknown term. Verify that the cross-products are equal. Equivalence of fractions, and hence, most of fraction arithmetic, is based on proportion. To add (a task we have performed up to now without much comment) so that the fractions can be written with the LCD (6). Then
    An Arithmetic Sequence is one in which the terms are separated by a constant. The constant, often indicated by the letter d, is called the Common Difference. Arithmetic sequences, then meet the condition: , where d is the common difference. In this sequence, the common difference is 3.
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