Multiply Fractions -> arithmetic sequences
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the common difference, denoted by the letter "d".
The general form of an arithmetic sequence is:
a1, a1 + d, a1 + 2d, a1 + 3d, ...
Where:
The formula to find the nth term of an arithmetic sequence is:
an = a1 + (n - 1)d
The formula to find the sum of the first n terms of an arithmetic sequence is:
Sn = (n/2)(a1 + an)
When working with arithmetic sequences, it's important to understand the concept of a common difference and how it affects the sequence. Here are some key points to remember when dealing with arithmetic sequences:
Understanding arithmetic sequences is important as they are widely used in various mathematical and real-world applications. Regular practice and application of the formulas will help in mastering this concept.
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