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An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same. Generally, the arithmetic sequence is written as a, a+d, a+2d, a+3d, ..., where a is the first term and d is the common difference.
Work on these seven (7) arithmetic sequence problems. The more we practice, the more confident and skilled we'll become. Ready to give it a shot?
Learn the definition and basic examples of an arithmetic sequence, along the concept of common difference. Understand how the terms in an arithmetic sequence are generated, and the difference between increasing and decreasing sequences.
Intro to arithmetic sequences. Extending arithmetic sequences. Extend arithmetic sequences. Using arithmetic sequences formulas. Intro to arithmetic sequence formulas. Worked example: using recursive formula for arithmetic sequence. Use arithmetic sequence formulas.
Here you will learn what an arithmetic sequence is, how to continue an arithmetic sequence and how to generate an arithmetic sequence. Students will first learn about arithmetic sequences as part of algebra in high school.
Solution. EXAMPLE 3. Find the following two terms in the arithmetic sequence: -17, -13, -9, -5, ?, ?. Solution. EXAMPLE 4. In an arithmetic sequence, the first term is 8 and the common difference is 2. Find the value of the 10th term. Solution. EXAMPLE 5. The first term of an arithmetic sequence is 12 and the common difference is -5.
An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. If (a n) sequence is an arithmetic sequence with r difference, then, on the basis of this definition, we get a n + 1 - a n = r. a 2 = a 1 + r. a 3 = a 2 + r = (a 1 + r) + r = a 1 + 2 r. a 4 = a 3 + r = (a 1 + 2 r) + r = a 1 + 3 r.
