This weekend I am going to review with you all the material that we learned in chapter 13, section 1. This section was an introduction to arithmetic and geometric sequences. In this section we learned how to determine whether a sequence was arithmetic or geometric, how to find the formula for each different sequence, and how the number of terms in a sequence or the indicated term in a sequence.
Notes:
• An arithmetic sequence is formed by adding the same number each time. The formula for an arithmetic sequence is t (n) = t1 + (n – 1) d
• A geometric sequence is formed by multiplying the same number each time. The formula for a geometric sequence is t (n) = t1 * r^(n-1)
Example: Identify whether the sequence is arithmetic or geometric, then find the formula for the nth term in the sequence. 2, 4, 6, 8, 10, …….
• It would be an arithmetic sequence
• t(n) = t1 + (n-1) d
• t(n) = 2 + (n-1) 2
• t(n) = 2 + 2n – 2
• t(n) = 2n
-Braxton-
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