11.2 Arithmetic Sequences and Series
For any arithmetic sequence, find the nth term when n is given and n when the nth term is given; and given two terms, find the common difference and construct the sequence.
Find the sum of the first n terms of an arithmetic sequence.
A sequence in which each term after the first is found by adding the same number to the preceding term is an arithmetic sequence.
Arithmetic Sequences
The sequence 2, 5, 8, 11, 14, 17, …is arithmetic because adding 3 to any term produces the next term. In other words, the difference between any term and the preceding one is 3. Arithmetic sequences are also called arithmetic progressions.
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