Q:
# What is an arithmetic sequence?

**An arithmetic sequence is a sequence of numbers where there is a definitive pattern between the consecutive terms of the series.** In general, arithmetic sequences can be represented by x = a + d(n - 1).

A mathematical sequence is a set of values in some order. In order for a sequence to be considered arithmetic, the terms of the sequence must have a common difference from one term to the next. For example, the sequence of counting numbers (1, 2, 3, 4, etc.) is arithmetic. The difference from each term to the next is 1. Each term can therefore be represented by x = a + d(n - 1), where "a" is the first term in the sequence, "d" is the difference between each term, and "n" is the number of the term in the sequence.

There are two types of arithmetic sequences: finite and infinite. A finite sequence has some definite number of terms whereas an infinite sequence continues its pattern and has a value for any "n." Although the pattern is described as the difference between numbers, it can actually be either positive or negative. This difference determines the growth of the arithmetic sequence. If the difference is positive, the terms grow toward infinity. If the difference is negative, the terms decrease toward negative infinity.

Learn more about Arithmetic-
Q:
## What is the commutative property of addition?

A: The commutative property of addition states that numbers or terms being added together can be rearranged without changing the final result. For example, 2 ... Full Answer >Filed Under: -
Q:
## What are the numbers called in an addition problem?

A: The numbers to add in an addition problem are called addends, summands or terms, while the answer to the problem is the sum. In the number sentence a+b=c, ... Full Answer >Filed Under: -
Q:
## What is a factor rainbow in math?

A: A factor rainbow is a way of writing factors for numbers using a series of arcs. It helps students ensure they have all the factors by listing them in cons... Full Answer >Filed Under: -
Q:
## How do you find the nth term of fractions?

A: To find the nth term of a fraction, find the pattern in the first few terms of the sequence for the numerator and denominator. Then write a general express... Full Answer >Filed Under: