Algebra II Honors Problem of the Day

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

Daily Check Find the first 3 terms of the following sequence:

Arithmetic Sequences and Series Unit Definition Arithmetic Sequences – A sequence in which the difference between successive terms is a constant.

Choi 2012 What is a Series? A series is the sum of terms of a sequence. The sum of the first n terms in a sequence is denoted as S n. S 5  the sum of.

4.7: Arithmetic sequences

 What are the next three terms in each sequence?  17, 20, 23, 26, _____, _____, _____  9, 4, -1, -6, _____, _____, _____  500, 600, 700, 800, _____,

1. 2, 4, 6, 8, 10, … 2. 15, 11, 7, 3, -1, … , -7, -2, 3, 8, …

Sums of Consecutive Natural Numbers

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

Arithmetic Sequences & Series Pre-Calculus Section.

9.2 Arithmetic Sequence and Partial Sum Common Difference Finite Sum.

SEQUENCES Unit Standard 5248.

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.

2, 4, 6, 8, … a1, a2, a3, a4, … Arithmetic Sequences

IB Studies Adrian Sparrow Arithmetic progressions: series and sequences 1.

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.

Algebra Geometric Sequences Objectives of this Section Determine if a Sequence Is Geometric Find a Formula for a Geometric Sequence Find the Sum.

Arithmetic Sequences Standard: M8A3 e. Use tables to describe sequences recursively and with a formula in closed form.

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

Algebra II Honors POD Homework: p odds, odds (you must use completing the square), and 77, 83 Find all real solutions for the following:

Warm Up: Section 2.11B Write a recursive routine for: (1). 6, 8, 10, 12,... (2). 1, 5, 9, 13,... Write an explicit formula for: (3). 10, 7, 4, 1,... (5).

Warm up 1. Find the sum of : 2. Find the tenth term of the sequence if an = n2 +1: =

Geometric Sequences & Series

Algebra II Honors Problem of the Day Homework: p odds Solve the following: No real solution.

MATHPOWER TM 12, WESTERN EDITION Chapter 6 Sequences and Series.

4.5 Properties of Logarithms. Properties of Logarithms log log 6 3 log 4 32 – log 4 2 log 5 √5.

Arithmetic Sequences Sequence is a list of numbers typically with a pattern. 2, 4, 6, 8, … The first term in a sequence is denoted as a 1, the second term.

Algebra II Honors POD Find the first six terms of the sequence defined as follows: Homework: p odds.

Algebra II Honors Problem of the Day Homework: p odds Find the first 6 terms of the sequence defined as: Fibonacci!

11.2 Arithmetic Series. What is a series?  When the terms of a sequence are added, the indicated sum of the terms is called a series.  Example  Sequence.

Algebra II Honors POD Multiply the following: Homework: p odds.

13.3 Arithmetic and Geometric Series and Their Sums Finite Series.

Arithmetic Sequences. Arithmetic sequence Before talking about arithmetic sequence, in math, a sequence is a set of numbers that follow a pattern. We.

Algebra Arithmetic Sequences and Series. Vocabulary Sequence – A list of numbers in a particular order Arithmetic Sequence – A sequence of numbers.

6 – 3 Adding, Subtracting and Multiplying Polynomials Day 1 Objective: Add, subtract, and multiply polynomials.

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.

11.2 Arithmetic Sequences.

11.2 Arithmetic Sequences.

nth or General Term of an Arithmetic Sequence

Arithmetic Sequences and Series

13.3 – Arithmetic and Geometric Series and Their Sums

Arithmetic Sequences and Series

The symbol for summation is the Greek letter Sigma, S.

Series and Financial Applications

Bellwork Find the next two terms of each sequence.

Arithmetic Sequences and Series

Patterns & Sequences Algebra I, 9/13/17.

4.7: Arithmetic sequences

Warm up Write the exponential function for each table. x y x

Sequences & Series.

3-4: Arithmetic Sequences

Homework Lesson 8.3 Page #1-17 (EOO), (ODD),

Section 2.2 Geometric Sequences

Sequences and Series Geometric series..

Section 2.1 Arithmetic Sequences and Series

Arithmetic Sequence Objective:

Daily Check Find the first 3 terms of the following sequence:

Mathematical Induction

Section 12.1 Sequences and Section 12.2 Arithmetic Sequences

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

Write out the first five terms of the sequence:

Arithmetic and Geometric Sequences

SECTIONS 9-2 and 9-3 : ARITHMETIC &

Warm Up Write the first 4 terms of each sequence:

Arithmetic Sequences Unit 6 Notes.

Arithmetic Sequences.

Activity 19 Review Algebra 2 Honors.

Presentation transcript:

Algebra II Honors Problem of the Day Homework page 885 1-37 odds Find the indicated sums.

3, 8, 13, 18, 23, . . . The above is an example of an arithmetic sequence. In an arithmetic sequence a particular amount is added to the current term to get the next term in the sequence. This amount is called the common difference of the arithmetic sequence and is represented by the letter d.

The sequence 3, 8, 13, 18, 23, . . . can be written as 3, 3+5, 3+5+5, 3+5+5+5, 3+5+5+5+5, . . . or in general as a, a+d, a+d+d, a+d+d+d, a+d+d+d+d, . . . or better yet as where a is the first term in the sequence.

If we think about the terms of the above sequence as Then we can write a formula for any term (the general term formula) as follows: