1. Lesson 11.1 Sequences and Series

2. Warm Up:

3. Comprehension Quiz: Read page 690… 1) Who were Titius and Bode? Close your books 2) What does their sequence model? German Astronomers The distances between the sun and the planets 3) What did they find at the distance corresponding to the fifth bode number? Ceres 4) The asteroid belt containing Ceres lies between which 2 planets? Mars and Jupiter

5. By reading page 691, define the following terms: Vocabulary: Sequence: Terms: Infinite Sequence: Ellipsis: Finite Sequence: Explicit Formula: An ordered list of numbers, called terms The numbers in a sequence A sequence that continues without end Three dots, used to indicate an infinite sequence A sequence that has a last term A formula that defines the nth term, or general term, of a sequence

6. n123456 tntn 1717314971 The first six terms are: 1, 7, 17, 31, 49, and 71

8. TRY THIS, page 691

9. The first six terms are 1, 2, 5, 14, 41, 122

11. Planet Bode Number Distance from the planet to Sun 5 th : Ceres 6 th : Jupiter 7 th : Saturn 8 th : Uranus

12. By reading page 693, define the following terms: Vocabulary: Series: Summation notation: Sigma: An expression that indicates the sum of terms of a sequence A way to express a series in abbreviated form, using the Greek letter sigma Explicit formula for the general term of the related sequence Values of n from 1 to 5 are called the index

14. TRY THIS, page 693

15. Homework: Practice 11.1