1.2 Cont. Learning Objective: to continue to find terms of sequences and then to find the sum of a geometric series. Warm-up (IN) 1.Give the first 4 terms.

Slides:

Advertisements

Similar presentations

11.3: Geometric Sequences & Series

Advertisements

7-4A Similar Figures and Proportions Learning Objective: To determine whether two given figures are similar, and to use similarity to find missing lengths.

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?

Warm-up Finding Terms of a Sequence

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.

Warm Up Find the geometric mean of 49 and 81..

1.4 Infinite Geometric Series Learning Objective: to explore what happens when a geometric series is infinite and to express it using sigma notation. Warm-up.

1.1 Arithmetic Sequences and Series Warm-up (IN) 1.A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third.

Notes Over 11.3 Geometric Sequences

Arithmetic Sequences Section 4.5. Preparation for Algebra ll 22.0 Students find the general term and the sums of arithmetic series and of both finite.

12.2 – Analyze Arithmetic Sequences and Series. Arithmetic Sequence: The difference of consecutive terms is constant Common Difference: d, the difference.

Wednesday, March 7 How can we use arithmetic sequences and series?

Aim: What are the arithmetic series and geometric series? Do Now: Find the sum of each of the following sequences: a)

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

Section 11.2 Arithmetic Sequences IBTWW:

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.

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.

F—06/11/10—HW #79: Pg 663: 36-38; Pg 693: odd; Pg 671: 60-63(a only) 36) a(n) = (-107\48) + (11\48)n38) a(n) = – 4.1n 60) 89,478,48562) -677,985,854.

Sequences & Series. Sequences  A sequence is a function whose domain is the set of all positive integers.  The first term of a sequences is denoted.

13.3 – Arithmetic and Geometric Series and Their Sums Objectives: You should be able to…

1.1 Cont. Give the first 4 terms of the sequence: a. b. Warm-up (IN)

Homework Questions. Number Patterns Find the next two terms, state a rule to describe the pattern. 1. 1, 3, 5, 7, 9… 2. 16, 32, 64… 3. 50, 45, 40, 35…

13.4 Geometric Sequences and Series Example:3, 6, 12, 24, … This sequence is geometric. r is the common ratio r = 2.

3.4 Sum and Difference Formula Warm-up (IN) 1.Find the distance between the points (2,-3) and (5,1). 2.If and is in quad. II, then 3.a. b. Learning Objective:

Acc. Coordinate Algebra / Geometry A Day 36

Geometric Sequences & Series

Aim: What is the arithmetic series ? Do Now: Find the sum of each of the following sequences: a) b)

Section Finding sums of geometric series -Using Sigma notation Taylor Morgan.

Today’s Objectives: Today’s Agenda Given the partial sum of a geometric series, find the specific n th term Find partial sums of arithmetic and geometric.

1.2 Geometric Sequences and Series Warm-up (IN) 1.Find the sum of the arithmetic series: a …+460 b. Learning Objective: to understand what.

Applications of Sequences and Series Learning Objective: to apply sequences and series to real world situations Warm-up (IN) HW/INB Check! When you’re.

Sequences & Series: Arithmetic, Geometric, Infinite!

3.6 Product-to-Sum and Sum-to- Product Formulas Warm-up (IN) 1.Find the exact value of: Learning Objective: To be able to properly identify which product-to-sum.

Thursday, March 8 How can we use geometric sequences and series?

12.3 – Analyze Geometric Sequences and Series. Geometric Sequence: Ratio of any term to the previous term is constant Common Ratio: Ratio each term is.

May 1, 2012 Arithmetic and Geometric Sequences Warm-up: What is the difference between an arithmetic and geometric sequence? Write an example for each.

13.3 Arithmetic and Geometric Series and Their Sums Finite Series.

Recognize and extend arithmetic sequences

Geometric Sequences and Series

11.2 Arithmetic Sequences.

The sum of the first n terms of an arithmetic series is:

Sequence/Series 1. Find the nth term if, a1 = -1, d = 10, and n = 25 ________ 2. Find a12 for –17, -13, -9,... _________ 3. Find the missing terms in.

Sequences and Series when Given Two Terms and Not Given a1

13.3 – Arithmetic and Geometric Series and Their Sums

Geometric Sequences and Series (Section 8-3)

Warm up f(x) = 3x + 5, g(x) = x – 15, h(x) = 5x, k(x) = -9

SEQUENCES AND SERIES.

AKS 67 Analyze Arithmetic & Geometric Sequences

Arithmetic Sequences and Series

Aim: What is the geometric series ?

Sequences and Series Arithmetic Sequences Alana Poz.

1.7 - Geometric sequences and series, and their

WARM UP State the pattern for each set.

Sequences & Series.

Unit 1 Test #3 Study Guide.

10.2 Arithmetic Sequences and Series

Homework Review.

Notes Over 11.5 Recursive Rules

Warm up f(x) = 3x + 5, g(x) = x – 15, h(x) = 5x, k(x) = -9

Warm up 1. One term of a geometric sequence is a5 = 48. The common ratio is r = 2. Write a rule for the nth term. 2. Find the sum of the geometric.

Warmup Solve the following systems of equations by the method of your choice: 1) 2)

Geometric Sequences and series

Section 2 – Geometric Sequences and Series

Geometric Sequence Skill 38.

Questions over HW?.

8-2 Analyzing Arithmetic Sequences and Series

Module 3 Arithmetic and Geometric Sequences

Warm Up Write the first 4 terms of each sequence:

Presentation transcript:

1.2 Cont. Learning Objective: to continue to find terms of sequences and then to find the sum of a geometric series. Warm-up (IN) 1.Give the first 4 terms of the sequence: a. b. 2. Write a rule for the nth term of the sequence: 6, -42, 294, -2058, … -2, -1, -1/2, -1/4 5, 15, 45, 135

Notes! Ex 1 – find

Ex 2 – find the missing terms in the geometric sequence a. 5, ____, ____, ____, 80 First we need to find r or

b. 243, ____, ____, 9 Sum formula for geometric series –

Ex 3 – find the sum of the first 6 terms of a geometric series if Ex 4 – find the sum of a geometric series if First we need to find n

Ex 5 – find the sum of the first 10 terms of

HW – finish worksheet Out – explain the difference between arithmetic and geometric. Summary – Now I understand… Don’t forget about POW!! Quiz next class on arithmetic!!