Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence.

Slides:



Advertisements
Similar presentations
Choi 2012 Arithmetic Sequence A sequence like 2, 5, 8, 11,…, where the difference between consecutive terms is a constant, is called an arithmetic sequence.
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?
Last Time Arithmetic SequenceArithmetic Series List of numbers with a common difference between consecutive terms Ex. 1, 3, 5, 7, 9 Sum of an arithmetic.
 What are the next three terms in each sequence?  17, 20, 23, 26, _____, _____, _____  9, 4, -1, -6, _____, _____, _____  500, 600, 700, 800, _____,
Arithmetic Sequences Finding the nth Term. Arithmetic Sequences A pattern where all numbers are related by the same common difference. The common difference.
Geometric Sequences Section
Unit 7: Sequences and Series. Sequences A sequence is a list of #s in a particular order If the sequence of numbers does not end, then it is called an.
Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.
11.3 – Geometric Sequences.
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 9.2 Arithmetic Sequences. OBJECTIVE 1 Arithmetic Sequence.
Lesson 1-9 Algebra: 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:
12-1 Arithmetic Sequences and Series. Sequence- A function whose domain is a set of natural numbers Arithmetic sequences: a sequences in which the terms.
12.2: Analyze Arithmetic Sequences and Series HW: p (4, 10, 12, 14, 24, 26, 30, 34)
Arithmetic Sequences and Series
Find each sum:. 4, 12, 36, 108,... A sequence is geometric if each term is obtained by multiplying the previous term by the same number called the common.
12.2 Arithmetic Sequences ©2001 by R. Villar All Rights Reserved.
OBJ: • Find terms of arithmetic sequences
Warm Up State the pattern for each step.
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 ______________________________.
13.3 – Arithmetic and Geometric Series and Their Sums Objectives: You should be able to…
Section 12-1 Sequence and Series
Arithmetic and Geometric Sequences Finding the nth Term 2,4,6,8,10,…
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
Section Finding sums of geometric series -Using Sigma notation Taylor Morgan.
Geometric Sequences & Series
12.2, 12.3: Analyze Arithmetic and Geometric Sequences HW: p (4, 10, 12, 18, 24, 36, 50) p (12, 16, 24, 28, 36, 42, 60)
Algebra 1 cc Function 4 Evaluate and write arithmetic sequences Recall: A function is relation in which each element of the domain is paired with exactly.
+ 8.4 – Geometric Sequences. + Geometric Sequences A sequence is a sequence in which each term after the first is found by the previous term by a constant.
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, …..
Unit 9: Sequences and Series. Sequences A sequence is a list of #s in a particular order If the sequence of numbers does not end, then it is called an.
Arithmetic Sequences and Series Section Objectives Use sequence notation to find terms of any sequence Use summation notation to write sums Use.
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.
Arithmetic Sequences & Partial Sums
Given an arithmetic sequence with
Recognize and extend arithmetic sequences
©2001 by R. Villar All Rights Reserved
Chapter 13: Sequences and Series
11.2 Arithmetic Sequences.
The sum of the first n terms of an arithmetic series is:
Aim: What is the arithmetic and geometric sequence?
Sequences.
13.3 – Arithmetic and Geometric Series and Their Sums
Arithmetic Sequences and Series
Warm-up Problems Consider the arithmetic sequence whose first two terms are 3 and 7. Find an expression for an. Find the value of a57. Find the sum of.
Chapter 12 – Sequences and Series
WARM UP State the pattern for each set.
11.3 – Geometric Sequences.
11.3 – Geometric Sequences.
4-7 Sequences and Functions
Geometric Sequences.
ex. 2, 7, 12, 17, 22, 27 5 is the common difference. an+1 = an + d
Arithmetic Sequences.
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
Arithmetic Sequence A sequence of terms that have a common difference between them.
Section 12.1 Sequences and Section 12.2 Arithmetic Sequences
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.
Section 2 – Geometric Sequences and Series
Geometric Sequence Skill 38.
Arithmetic Sequence A sequence of terms that have a common difference between them.
Arithmetic Sequence A sequence of terms that have a common difference (d) between them.
Recognizing and extending arithmetic sequences
8-2 Analyzing Arithmetic Sequences and Series
Section 9.3 Arithmetic Sequences
Finding the nth term Example
Finding the nth term, Un Example
Presentation transcript:

Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence

Find the next four terms.

Arithmetic Sequence a common difference between consecutive terms. Ex: Determine if the following are arithmetic

With a partner find the common difference, d, for each of the given sequences. You may need to write out the terms if the formula is given.

nth term of an arithmetic sequence nth term first term common difference

Ex: Write out the first five terms of the arithmetic sequence if

Ex: From the previous example, find

Ex: Find for the arithmetic sequence having and

Ex: Find d, and for the arithmetic sequence having and