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Arithmetic Series 11.2
Vocabulary series: the sum of the indicated terms in a sequence arithmetic series: the sum of an arithmetic sequence
Finding an Arithmetic Series or Method 1Method 2
Example 2-1a Find the sum of the first 20 even numbers, beginning with 2. Ex 1 Method 1 Method 2
Example 2-1a Find the sum of the first 15 numbers, beginning with 1. Ex 2
Example 2-1a Find the sum of the arithmetic series: Ex 3
Example 2-1a Find the first four terms of the arithmetic series with the following characteristics: Ex 4
Example 2-1a Find the sum of the arithmetic series: Ex 5
Vocabulary sigma notation: more concise notation for a series index of summation: the variable in sigma notation
Example 2-1a Evaluate Ex 6
Example 2-1a Evaluate Ex 7
Example 2-1a Ex 8
Algebra II Honors—Day 69. Warmup Solve and check: Find the next four terms of this arithmetic sequence: 207, 194, 181,... Find the indicated term of this.
C1 Sequences and series. Write down the first 4 terms of the sequence u n+1 =u n +6, u 1 =6 6, 12, 18, 24.
12.5 Sigma Notation and the nth term. Ex 1 write each expression in expanded form and then find the sum.
Chapter 8 Vocabulary. Section 8.1 Vocabulary Sequences An infinite sequence is a function whose domain is the set of positive integers. The function.
11.1 An Introduction to Sequences & Series p. 651.
12.3 Infinite Sequences and Series. Infinite sequence – a sequence that has infinitely many terms. Infinite sequence – a sequence that has infinitely.
11.7. There are n+1 terms Functions of n Exponent of a in first term Exponent of b in last term Other terms Exponent of a decreases by 1 Exponent of b.
12.1 – Arithmetic Sequences and Series. An introduction………… Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic.
Lesson 10.1: Sequences & Summation Notation Sequences –Algebraic formulafirst n terms –Factorial notation Series –Summation or Sigma notation.
Arithmetic Sequences and Series An Arithmetic Sequence is defined as a sequence in which there is a common difference between consecutive terms.
Arithmetic and Geometric Means OBJ: Find arithmetic and geometric means.
9.2 – Arithmetic Sequences and Series. An introduction………… Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic.
Lesson 1.1- Variables and Expressions, pg. 6 Objective: To write mathematical expressions for verbal expressions and vice versa.
Sequences and Series By: Brandon Huggins Brad Norvell Andrew Knight.
Potpourri Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100.
Copyright © 2007 Pearson Education, Inc. Slide R-2 Chapter R: Reference: Basic Algebraic Concepts R.1Review of Exponents and Polynomials R.2Review of.
1 Example 1: Find the 10 th term and the nth term for the sequence 7, 10, 13, …. Solution: U 10 = Un=Un=
Variables and Expressions LESSON 11. REVIEW! Vocabulary Variable: a symbol used to represent numbers or values. Algebraic Expression: one or more numbers.
©Evergreen Public Schools /11/2011 Arithmetic Sequences Explicit Rules Teacher Notes Notes : We will continue work students have done with arithmetic.
4.2 Area. Sigma Notation Summation Examples Example:
Section 11.5 – Testing for Convergence at Endpoints.
1-1 Patterns and Inductive Reasoning. What do you know? Pretest.
Lesson 10.2: Arithmetic Sequences & Series Sequences –Algebraic formulaspecific terms –Recursion or Recursive formulas –Arithmetic means Series –Sum of.
Which expression can be used to find the nth term in the sequence 11, 17, 23, 29 …. A)6n + 1C) 6n + 3 B)6n – 5D) 6n + 5 2) 1) Which sequence below follows.
SYSTEMS OF EQUATIONS. Substitution Method Ex. 1:2x + y = 15 y = 3x We have been using the Substitution Property in our proofs. Now we are going to use.
6.1 Factoring Polynomials factor out a common factor.
Objective: Evaluate expressions containing variables and translate verbal phrases into algebraic expressions.
Geometric Sequences and Series. Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic Series Sum of Terms.
Simplifying Expressions Objective simplify and evaluate algebraic expressions.
10.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Analyze Arithmetic Sequences and Series.
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