56×n

The mathematical expression 56×n represents a set of multiples of the number 56, where 'n' is an integer. This is a fundamental concept in arithmetic and algebra, commonly referred to as a sequence or a progression. As 'n' takes on integer values (..., -2, -1, 0, 1, 2, ...), the expression 56×n generates values such as ..., -112, -56, 0, 56, 112, and so on.

The set of all possible values generated by 56×n forms an infinite arithmetic progression with a common difference of 56. Each term in this sequence is divisible by 56. In number theory, this set is often denoted as 56Z, representing all integer multiples of 56.

In algebraic contexts, the expression 56×n can appear as part of an equation or inequality. For instance, if solving for 'n' in an equation like 56×n = 112, 'n' would equal 2. The variable 'n' can also represent any real number, in which case 56×n would generate all real numbers that are multiples of 56. However, the term "56×n" most commonly implies 'n' as an integer in introductory mathematics. This notation is used to define properties related to divisibility, modular arithmetic, and the structure of number sets.