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Pre-Calc Tuesday A#12.1 page 763 #17-45 odd

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1 Pre-Calc Tuesday 4-14-15 A#12.1 page 763 #17-45 odd
Today, we will be able to… Find the nth term of an arithmetic sequence Find the arithmetic means of an arithmetic sequence Find the sum of n terms of an arithmetic series We will show we can do this by… Asking and answering questions Completing the guided practice problems and book work assignment To know how well we are learning this, we will look for… Correct answers It is important for us to learn this (or be able to do this) because....Β  This chapter is an introduction to the study of discrete mathematics. Sequences and series are used in calculus and statistics, which translates to multiple job professions such as engineering and statisticians. Tomorrow we will learn about… Geometric series and sequences; in particular finding the nth term and geometric means of a geometric sequence and the sum of n terms of a geometric series. Warm-ups What is the difference between: Sequence and series Arithmetic sequence/series and Geometric sequence/series Discussion/Notes/Guided Practice 12-1 Arithmetic Sequences and Series Assignment A#12.1 page 763 #17-45 odd Yesterday we… Finished the Chapter 11 test Identified Success Criteria and Goals for Chapter 12 Identified the differences between a sequence and a series and differences between an arithmetic sequence/series and a geometric sequence/series

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3 Guided Practice for example 1:
Find the next four terms in the arithmetic sequence βˆ’12, βˆ’1, 10, … Guided Practice for example 1: Find the next four terms in the arithmetic sequence 6, 11, 16, …

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5 Guided Practice for example 2:
Find the 41st term in the arithmetic sequence 11, 4, βˆ’3, βˆ’10, … Guided Practice for example 2: Find the 17th term in the arithmetic sequence 10, 7, 4, 1, … Example 3: Find the first term in the arithmetic sequence for which π‘Ž 44 =229 and 𝑑=8. Guided Practice for example 3: Find the first term in the arithmetic sequence for which π‘Ž 7 =3 and 𝑑=βˆ’2.

6 Guided Practice for example 4:
Write an arithmetic sequence that has six arithmetic means between –12 and 23. Guided Practice for example 4: Write an arithmetic sequence that has two arithmetic means between 9 and 24.

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8 Guided practice for example 5:
Find the sum of the first 32 terms in the arithmetic series –12 – 6 – 0 + …. Guided practice for example 5: Find the sum of the first 35 terms in the arithmetic series ….

9 A#12.1 page 763 #17-45 odd


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