The concept of 'constant difference' refers to a situation where the difference between consecutive terms in a sequence remains the same, characteristic of an arithmetic sequence. This regularity is fundamental in identifying linear relationships and can be used to predict subsequent terms and analyze patterns in data sets.

Constant Difference

constant difference

consecutive terms

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference. This type of sequence is linear in nature and can be expressed using the formula for the nth term: an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

arithmetic sequence

A linear relationship is a mathematical connection between two variables where the change in one variable is proportional to the change in the other, typically represented by a straight line on a graph. This relationship is expressed by the equation y = mx + b, where m is the slope and b is the y-intercept.

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