whoop 1.2

Slides:



Advertisements
Similar presentations
Chapter 8 Vocabulary. Section 8.1 Vocabulary Sequences An infinite sequence is a function whose domain is the set of positive integers. The function.
Advertisements

Essential Question: What is a sequence and how do I find its terms and sums? How do I find the sum & terms of geometric sequences and series?
Arithmetic Sequences and Series Unit Definition Arithmetic Sequences – A sequence in which the difference between successive terms is a constant.
Warm up 1. Determine if the sequence is arithmetic. If it is, find the common difference. 35, 32, 29, 26, Given the first term and the common difference.
Notes Over 11.3 Geometric Sequences
Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.
11.3 – Geometric Sequences.
Click here to begin the lesson
Copyright © 2007 Pearson Education, Inc. Slide 8-1.
Copyright © 2011 Pearson Education, Inc. Slide A sequence in which each term after the first is obtained by adding a fixed number to the previous.
Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence.
THE BEST CLASS EVER…ERRR…. PRE-CALCULUS Chapter 13 Final Exam Review.
Copyright © 2007 Pearson Education, Inc. Slide 8-1.
Arithmetic Sequence Chapter 2, lesson C. IB standard Students should know Arithmetic sequence and series; sum of finite arithmetic series; geometric sequences.
Notes Over 11.2 Arithmetic Sequences An arithmetic sequence has a common difference between consecutive terms. The sum of the first n terms of an arithmetic.
Review for the Test Find both an explicit formula and a recursive formula for the nth term of the arithmetic sequence 3, 9, 15,……… Explicit Formula ______________________________.
Section 12-1 Sequence and Series
Geometric Sequences & Series
Section Finding sums of geometric series -Using Sigma notation Taylor Morgan.
How do I find the sum & terms of geometric sequences and series?
9.3 Geometric Sequences and Series. 9.3 Geometric Sequences A sequence is geometric if the ratios of consecutive terms are the same. This common ratio.
Geometric Sequences. Warm Up What do all of the following sequences have in common? 1. 2, 4, 8, 16, …… 2. 1, -3, 9, -27, … , 6, 3, 1.5, …..
Arithmetic Sequences and Series Section Objectives Use sequence notation to find terms of any sequence Use summation notation to write sums Use.
Copyright © 2011 Pearson Education, Inc. Slide
Pen Tool McGraw-Hill Ryerson Pre-Calculus 11 Chapter 8 Systems of Equations Section 8.2 Click here to begin the lesson.
Section 8.2 Arithmetic Sequences & Partial Sums. Arithmetic Sequences & Partial Sums A sequence in which a set number is added to each previous term is.
whoop 1.1
whoop 1.3
Pen Tool McGraw-Hill Ryerson Pre-Calculus 11 Chapter 1 Sequences and Series Section 1.4 Click here to begin the lesson.
Pen Tool McGraw-Hill Ryerson Pre-Calculus 11 Chapter 1 Sequences and Series Section 1.5 Click here to begin the lesson.
Arithmetic Sequences.
Arithmetic Sequences & Partial Sums
Splash Screen.
Given an arithmetic sequence with
Chapter 13: Sequences and Series
Pre-Calculus 11 Notes Mr. Rodgers.
Arithmetic and Geometric sequence and series
Patterns and Sequences
Welcome to Interactive Chalkboard
To Navigate the Slideshow
Aim: What is the geometric series ?
1.7 - Geometric sequences and series, and their
Chapter 12 – Sequences and Series
11.3 – Geometric Sequences.
Chapter 8: Further Topics in Algebra
Sequences & Series.
Sequences and Series Day 7
11.3 – Geometric Sequences.
Section 5.7 Arithmetic and Geometric Sequences
9.3 Geometric Sequences and Series
Unit 5 – Series, Sequences, and Limits Section 5
Geometric Sequences.
Day 92 – Geometric sequences (day2)
Arithmetic Sequences.
Geometric Sequences and Series
Geometric Sequences.
Chapter 11: Further Topics in Algebra
9.2 Arithmetic Sequences and Series
To Navigate the Slideshow
Warm Up Look for a pattern and predict the next number or expression in the list , 500, 250, 125, _____ 2. 1, 2, 4, 7, 11, 16, _____ 3. 1, −3,
To Navigate the Slideshow
Section 2 – Geometric Sequences and Series
Chapter 10 Review.
Pre-Calc Tuesday A#12.1 page 763 #17-45 odd
Geometric Sequence Skill 38.
Unit 5 – Series, Sequences, and Limits Section 5
Pre-Calc Friday Infinite Sequences and Series
Warm Up Write the first 4 terms of each sequence:
Nth, Geometric, and Telescoping Test
Chapter 1 Sequences and Series
Presentation transcript:

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

Pen Tool McGraw-Hill Ryerson Pre-Calculus 11 Teacher Notes 1. This lesson is designed to help students conceptualize the main ideas of Chapter 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.

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.

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

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.

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

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

Pen Tool Solutions Series The sum of the terms of a sequence. The sum of the terms in an arithmetic sequence 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