Arithmetic Sequence

• Arithmetic Sequence Definition
• Explicit Formula For Arithmetic Sequence

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Arithmetic Sequence

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Sequences with such patterns are called arithmetic sequences In an arithmetic sequence the difference between consecutive terms is always the same For example the sequence 3 5 7 9 is arithmetic because the difference between consecutive terms An arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.

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Arithmetic SequenceAn arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. In General we could write an arithmetic sequence like this a a d a 2d a 3d where a is the first term and d is the difference between the terms called the common difference Example continued 1 4 7 10 13 16 19 22 25 Has a 1 the first term d 3 the common difference between terms And we get

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