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Mr. Borosky Section 12.2 Algebra 2 12.2 Analyze Arithmetic Sequences and Series p. 802-808 Objective: 1. You will study Arithmetic Sequences and Series. Arithmetic Sequence (Arithmetic Progression) – a sequence in which the difference between any 2 successive terms is constant. Common Difference – the constant difference between each term. Rule for an Arithmetic Sequence In an Arithmetic Sequence with first term a1 and common difference “d” the nth term is given by *** an = a1 + (n – 1)d *** Example: The nth term of an Arithmetic Sequence with a first term of 2 and common difference of 3 is given by: an = 2 + (n – 1)3 an = 2 + 3n – 3 an = 3n – 1 SKIP Arithmetic Series 12.2 Analyze Arithmetic Sequences and Series p. 802-808 Page 1 of 1