1. Pen Tool McGraw-Hill Ryerson Pre-Calculus 11 Chapter 1 Sequences and Series Section 1.2 Click here to begin the lesson

2. Pen Tool McGraw-Hill Ryerson Pre-Calculus 11 Teacher Notes 1. This lesson is designed to help students conceptualize the main ideas of Chapter 1. 2. To view the lesson, go to Slide Show > View Show (PowerPoint 2003). 3. To use the pen tool, view Slide Show, click on the icon in the lower left of your screen and select Ball Point Pen. 4. To reveal an answer, click on or follow the instructions on the slide. To reveal a hint, click on. To view the complete solution, click on the View Solution button. Navigate through the lesson using the and buttons. 5. When you exit this lesson, do not save changes.

3. Pen Tool Series Chapter 1 Click here for the suggested answer. Definition of an arithmetic series Definition of a geometric series Series General Sum Example General Sum Example Complete the chart below by giving a definition, the formula for the sum S and an example for each type of series.

4. Pen Tool Arithmetic Series Write the formula for the sum of an arithmetic series, S n, where t 1 is the first term, n is the number of terms, and d is the common difference. Chapter 1 If the nth term in an arithmetic sequence is known, write the formula for the sum of an arithmetic series. Answer

5. Pen Tool Arithmetic Series Click here for the solution. Five consecutive multiples of a number produces an arithmetic sequence. If the smallest multiple is 36 and the sum of these five multiples is 220, what are the other four multiples? Chapter 1 Answer The other four multiples are 40, 44, 48, and 52.

6. Pen Tool The following pages contain solutions for the previous questions. Click here to return to the start

7. Pen Tool Solutions 440 = 5(72 + 4d) 16 = 4d 4 = d Since d = 4, the other four multiples are 40, 44, 48, and 52. Go back to the question

8. Pen Tool Solutions Series The sum of the terms of a sequence. The sum of the terms in an arithmetic sequence. 11 + 18 + 25 + 32 6 + 18 + 54 + 162 The sum of the terms in a geometric sequence. S n =, r ≠ 1 t 1 (r n − 1) r − 1 n S n = [2t 1 + (n – 1)d] 2 Go back to the question