MATH-1428 Lecture Notes - Lecture 38: Arithmetic Progression
12 Mar 2017
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8. 2 arithmetic sequences and series notes: sterling. Provide a generalization to each of the key terms listed in this section. Arithmetic sequence: an arithmetic sequence is a type of sequence that deals with the di erence between the pairs of consecutive terms of a xed quantity. Arithmetic sequences are sequences that notes that every terms after the initial is being obtained by adding a xed amount to the previous term. 2, 6, 10, 14, 18, an = a1 + (n 1)d an = 2 + (n 1)4 an = 2 + 4n 4 an = 4n 2. 5, 2, 1, 4, 7, an = a1 + (n 1)d an = 5 + (n 1)( 3) an = 5 3n + 3 an = 3n + 8. The arithmetic series is actually the given sum of an arithmetic sequence. What is the rst 15th term to the following sequence? an = 5 + (n 1) 3 a15.
