a sequence in which the terms differ by the same constant amount

a sequence such that each successive term is obtained from the previous term by addition or subtraction of a fixed number called a common difference

a sequence with the difference between two consecutive terms constant

A sequence with a constant difference between consecutive terms (e.g., 2, 5, 8, 11,... is an arithmetic sequence with a constant difference of 3).

A sequence in which each term (except the first) differs from the previous one by a constant amount, the common difference:= +( = general term= first term= common difference = number of terms

A sequence of numbers formed by adding a common term. The sequence of 4,7,10,13... is arithmetic because it is formed by adding 3 over and over.

A sequence of elements, such that the difference of any two successive terms is a constant. The formula to describe the sequence is ai+1 - ai = k. Example: {2,5,8,11,14,...} has the common difference of 3.

a list of numbers in which the difference between any two adjacent numbers is the same. The first number in the list is called the initial value. The list 1, 3, 5, 7, … is an arithmetic sequence because the difference between any two adjacent numbers is 2. That difference is called the common difference.

For each positive inte- ger n, the sequence with the first term a, and nth term a, is an arithmetic sequence if and only if = + (n - 1)d.

A sequence of elements, , , , . . ., such that the difference of successive terms is a constant i+1 - = ; for example, the sequence {2, 5, 8, 11, 14, . . .} where the common difference is 3.

A sequence in which the difference between successive terms is consistent.