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1 4 9 16 25 2 2 n 9 2= Math Book page 142143 Homework #11 Page 144 ! ! t I k c e h C o t e Tim #1738 ! ! t I k c e h C to e m i T Arithmetic sequences are closely related to many of the functions you have studied thus far. x y 1 3 2 6 3 9 4 ? What is the value of the function when x is 4? ____ Note => In order to get the answer, you must use the arithmetic sequence in the ycolumn to infer the next number in the sequence. When writing functions for sequences, don't forget to write the coefficient of n and don't forget to add the constant. For example, you may write y = 2n instead of y = 2n + 1 for the sequence 3, 5, 7,... Be sure to check if the coefficient of n is the same as the first value of y. If it is not, you will need to add or subtract by a constant. Term number Term 1 2 3 4 5 6 ... n Practice Term number Term 1 2 3 4 5 6 ... n 4 8 12 16 Term number Term 1 2 3 4 5 6 ... n 1 6 11 16 Term number Term 1 2 3 4 3 10 17 24 5 6 ... n Pattern and Sequences Sequence - a list of numbers which has a pattern that is consistent from each number to the next. The number within the Sequence is referred to as the terms of the Sequence. Ex: Sequence => 2, 4, 6, 8, 10, . . . terms Ex: Sequence => 2, 4, 6, 8, 10, . . . terms Pattern => Each term is 2 more than the previous term. (This pattern is consistent.) What are the next 3 terms? ____, ____, ____ What is the 10th term? ____, 20th term? ____ ect. How did you find the 10th term? How did you find the 20th term? How would you find the nth term? Term number 1 Term 2 2 4 3 6 4 5 6 8 10 n ? Pattern => Multiply the term number by 2 to get the term. Rule => 2n Arithmetic Sequence A sequence in which a fixed number, called the common difference, is added to each term to get the next term. Geometric Sequence A sequence in which a fixed number, called the common ratio, is multiplied by each term to get the next term. Homework #13 pp:3334 Pages 150152 #145 (Use graph paper in back of packet.) Remember... you can go to my.hrw.com to view the online book. Holt McDougal Online