Mathematics Standards Download the standards Print this page For more than a decade, research studies of mathematics education in high-performing countries have concluded that mathematics education in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country.
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then...
A constant number known as the common difference is applied to the previous number to create each successive number. An arithmetic sequence of this kind can be finite when the number of terms is defined, or infinite when the number of terms is not defined.
A constant number known as the common difference is applied to the previous number to create each successive number. An arithmetic sequence of this kind can be finite when the number of terms is defined, or infinite when the number of terms is not defined.
An arithmetic sequence has a constant difference d between consecutive terms. The same number is added or subtracted to every term, to produce the next one. A geometric sequence has a constant ratio r between consecutive terms.
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This arithmetic sequence has a common difference of 4, meaning that we add 4 to a term in order to get the next term in the sequence. The recursive formula for an arithmetic sequence is written in the form For our particular sequence, since the common difference (d) is 4, we would write
In terms of number sequences, the order of the numbers can offer additional meaning. For example, when there are three or more numerals in a sequence, the center numbers allude to the core message and situation, while the surrounding numbers play a supporting role in the meaning.