Section 9.2 Arithmetic Sequences. OBJECTIVE 1 Arithmetic Sequence.

Slides:



Advertisements
Similar presentations
Arithmetic Sequences and Series
Advertisements

8.2 Arithmetic Sequences and Series 8.3 Geometric Sequences and Series
2412 Pre-Calculus Chapter 12 Section 2 Arithmetic Sequences.
9.2 Arithmetic Sequences and Partial Sums
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Sequences And Series Arithmetic Sequences.
Arithmetic Sequences and Series
Section 11.2 Arithmetic Sequences
1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 10 Further Topics in Algebra.
Arithmetic Sequences and Partial Sums
Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.
ARITHMETIC SEQUENCES AND SERIES
Wednesday, March 7 How can we use arithmetic sequences and series?
SECTION 7.2 ARITHMETIC SEQUENCES. (a) 5, 9, 13, 17, 21,25 (b) 2, 2.5, 3, 3.5, 4, 4, (c) 8, 5, 2, - 1, - 4, - 7 Adding 4 Adding.5 Adding - 3 Arithmetic.
Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence.
Pre-Calculus Section 8.2B Arithmetic Sequences
Sullivan Algebra and Trigonometry: Section 13.2 Objectives of this Section Determine If a Sequence Is Arithmetic Find a Formula for an Arithmetic Sequence.
Section 11.2 Arithmetic Sequences IBTWW:
Ch.9 Sequences and Series
Arithmetic Sequences and Series
Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
ARITHMETIC SEQUENCES. (a) 5, 9, 13, 17, 21,25 (b) 2, 2.5, 3, 3.5, 4, 4, (c) 8, 5, 2, - 1, - 4, - 7 Adding 4 Adding.5 Adding - 3 Arithmetic Sequences.
9.2 Arithmetic Sequences. Objective To find specified terms and the common difference in an arithmetic sequence. To find the partial sum of a arithmetic.
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
Review of Sequences and Series.  Find the explicit and recursive formulas for the sequence:  -4, 1, 6, 11, 16, ….
13.4 Geometric Sequences and Series Example:3, 6, 12, 24, … This sequence is geometric. r is the common ratio r = 2.
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
Aim: What is the arithmetic series ? Do Now: Find the sum of each of the following sequences: a) b)
Chapter 3: Linear Functions
Review of Sequences and Series
Arithmetic Recursive and Explicit formulas I can write explicit and recursive formulas given a sequence. Day 2.
LEQ: How do you evaluate or find explicit formulas for arithmetic sequences?
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.
Section 9.2 Arithmetic Sequences and Partial Sums 1.
Essential Question: How do you find the nth term and the sum of an arithmetic sequence? Students will write a summary describing the steps to find the.
Arithmetic Sequences & Partial Sums
Recognize and extend arithmetic sequences
11.2 Arithmetic Sequences.
11.2 Arithmetic Sequences.
Warm Up Complete the table… Recursive Formula Sequence
The sum of the first n terms of an arithmetic series is:
Arithmetic Sequences & Series
Series and Financial Applications
Sequences and Series.
constant difference. constant
Recursive and Explicit Formulas for Arithmetic (Linear) Sequences
Recursive and Explicit Formulas for Arithmetic (Linear) Sequences
Chapter 12 – Sequences and Series
Unit 1 Test #3 Study Guide.
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
Recursive and Explicit Formulas for Arithmetic (Linear) Sequences
Arithmetic Sequence A sequence of terms that have a common difference between them.
Section 12.1 Sequences and Section 12.2 Arithmetic Sequences
Warm Up.
Sullivan Algebra and Trigonometry: Section 13.1
The nth term, Un Example If we are given a formula for Un (th nth term) where find the first five terms of the sequence Un = 3n + 1.
Module 3 Arithmetic and Geometric Sequences
Write the recursive and explicit formula for the following sequence
Lesson 12–3 Objectives Be able to find the terms of an ARITHMETIC sequence Be able to find the sums of arithmetic series.
Arithmetic Sequence A sequence of terms that have a common difference between them.
All of these images have something in common.
Arithmetic Sequence A sequence of terms that have a common difference (d) between them.
Recursive and Explicit Formulas for Arithmetic (Linear) Sequences
Does each term increase/decrease by the same added amount each time?
8-2 Analyzing Arithmetic Sequences and Series
Module 3 Arithmetic and Geometric Sequences
Finding the nth term Example
Warm Up Write the first 4 terms of each sequence:
Activity 19 Review Algebra 2 Honors.
Presentation transcript:

Section 9.2 Arithmetic Sequences

OBJECTIVE 1

Arithmetic Sequence

Show that the sequence is arithmetic. List the first term and the common difference. (a) 4, 2, 0, -2,...

OBJECTIVE 2

Find the twenty fourth term of the arithmetic sequence: -3, 0, 3, 6,...

The sixth term of an arithmetic sequence is 26, and the nineteenth term is 78. (a) Find the first term and the common difference. (b) Give a recursive formula for the sequence. (c) What is the nth term of the sequence?

OBJECTIVE 3

Find the sum of the first n terms of the sequence {4n + 2}

Find the sum: … + 122

Finding the Number of Seats in a Stadium The first row of seats in a corner stadium section has 20 seats. There are 40 rows in the section with each row having two more seats than the row in front. How many seats are in that section of the stadium?