Arithmetic and Geometric Series. April 13, 2007. Sequence vs. Series. Sequence – a set of numbers that follow a general rule (nth term formula) Examples: 1, 8, 15, 22, 29, … -8, 2, -1/2, 1/8, … Series – the sum of the terms in a sequence of numbers Examples: 1 + 8 + 15 + 22 + 29 + …

ByChapter Six. Discounted Cash Flow Valuation. Key Concepts and Skills. Be able to compute the future value of multiple cash flows Be able to compute the present value of multiple cash flows Be able to compute loan payments Be able to find the interest rate on a loan

ByChapter Six. Discounted Cash Flow Valuation. Key Concepts and Skills. Be able to compute the future value of multiple cash flows Be able to compute the present value of multiple cash flows Be able to compute loan payments Be able to find the interest rate on a loan

ByInvestment Analysis . Lecture : 11 Course Code: MBF702. Outline. RECAP Profitability index Annuities and perpetuity Net terminal value Capital Rationing. Profitability Index. Profitability Index.

ByReview 11.4 – 11.5 . Arithmetic and Geometric Series. Finite Arithmetic Series. Formula: Sum of a Finite Arithmetic Series. Write the related arithmetic series for each finite sequence. . 5, 8, 11, … , 26 Find the sum. . Write the related arithmetic series for each finite sequence. .

ByArithmetic Series. Lesson 8.3. Definitions. Series: an indicated sum of terms of a sequence Infinite Arithmetic series: goes on forever Arithmetic series: implies finite series. Sum the numbers 1, 2, … 100. Two formulas could be used:. ** Must have a constant difference!. Example 1.

ByExact Accumulation and . AP Calculus. A). Sigma Notation. REM:. Ex. REM: Sum of the first 100 numbers. 1+2+3+…….+98+99+100. Summation Formulas. Finite Series. EX 1. Evaluate using the formulas:. EX 2. Evaluate using the formulas:. Infinite Series. REM: Limits at Infinity.

BySignals and Systems Fall 2003 Lecture #6 23 September 2003. 1. CT Fourier series reprise, properties, and examples 2. DT Fourier series 3. DT Fourier series examples anddifferences with CTFS. CT Fourier Series Pairs. Review:. Skip it in future for shorthand.

ByU SING AND W RITING S EQUENCES. The numbers in sequences are called terms. You can think of a sequence as a function whose domain is a set of consecutive integers. If a domain is not specified, it is understood that the domain starts with 1. U SING AND W RITING S EQUENCES. n. a n.

ByCollege Algebra & Trigonometry and Precalculus. 4 th EDITION. 11.1. Sequences and Series. Sequences Series and Summation Notation Summation Properties. Sequences.

BySequences. A sequence is a function that computes an ordered list. For example, the average person in the United States uses 100 gallons of water each day. The function defined by ( n ) = 100 n generates the terms of the sequence 100, 200, 300, 400, 500, 600, 700,…,

BySequence. A sequence is a set of numbers in a specific order. Infinite sequence. Finite sequence. Sequences – sets of numbers. Ex . 1. Find the first four terms of the sequence. First term. Second term. Third term. Fourth term. Writing Rules for Sequences.

By11.4 – Arithmetic Series. How do I know if it is an arithmetic series?. A series is the expression for the sum of the terms of a sequence , not just “what is the next terms.

ByGeometric Sequences and Series. Sections 11.3 and 11.5. Review Terms. Sequence An ordered list of numbers Series The sum of the terms of a sequence Term A specific number in a sequence Arithmetic Sequence A sequence of numbers where the difference between consecutive terms is constant

ByGeometric Series. section 12.3. DEFINITIONS. Geometric Series is indicated sum of the terms of a geometric sequence Ratio is a quantity that denotes the proportional amount or magnitude of one quantity relative to another. 5. ∑. 3 n. k = 1. 5. 3 + 6 + 9 + 12 + 15 = ∑ 3 k. k = 1.

ByPrecalculus 2. Today’s Agenda. Sigma Partial Sum Infinite Series Finite Series HW: Worksheet14-2b Arithmetic and Geometric Sequences AND QUIZ corrections!!!. Do Now: take out Quiz #1 from Unit 2 Sequence vs. Series: what do you know? Think, pair, share. CW: Vocab Review

ByAppendix E: Sigma Notation. Definition: Sequence. A sequence is a function a ( n ) (written a n ) who’s domain is the set of natural numbers {1, 2, 3, 4, 5, ….}. a n is called the general term of the sequence.

ByHomework, Page 749. Write each sum using summation notation, assuming the suggested pattern continues. 1. . Homework, Page 749. Write each sum using summation notation, assuming the suggested pattern continues. 5. . Homework, Page 749. Find the sum of the arithmetic sequence. 9. .

BySequences & Summations. Section 2.4 of Rosen Fall 2008 CSCE 235 Introduction to Discrete Structures Course web-page: cse.unl.edu/~cse235 Questions : cse235@cse.unl.edu. Outline. Although you are (more or less) familiar with sequences and summations, we give a quick review Sequences

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