Sum of a geometric series
[DOC File]LESSON PLAN (WEEK 14)
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When , an infinite geometric series does not have a sum. Activity VIII: [14 minutes] Find the sum . Find the sum . Draw four squares adjacent to each other. The first with side length of 1 unit, the second with side length of ½, the third with side length ¼, and the fourth with side length 1/8.
[DOC File]Section 1 - Radford University
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Geometric Series. A geometric series is given by. with ratio r. Notes. 1. The geometric series converges if and only if . When , the sum of the series (the value the series converges to) is. If , then the geometric series diverges. 2. The value a is the first term of the series. 3. The ratio r is the factor you multiply the previous term by to ...
[DOC File]12 - Mira Costa High School
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Apr 21, 2010 · THE SUM OF A FINITE GEOMETRIC SERIES. The sum of the first n terms of a geometric series with common ratio r ( 1 is: Example 5. Find the sum of a geometric series. Find the sum of the geometric series . a1 = 3(4)1(1 = __3_ Identify first term. r = __4__ Identify common ratio. Write rule for S13. _____= _67,108,863_ Substitute and simplify ...
[DOC File]Section 4 - Council Rock School District
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3) Write the geometric series 3 + 6 + 12 + … + 96 in sigma notation and find its sum. 3) Write the geometric series 1 + 4 + 16 + … + 4096 in sigma notation and find its sum. 4) Give the sum . Geometric Series Practice Worksheet 1. Name Period # Examine the geometric sequence 2, 6, 18, … for questions 1 – 3.
[DOC File]Department of Mathematics : The University of Akron
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The sum of an infinite geometric series is 125 and its 7th and 8th terms are and , respectively. Find the first three terms of the series. The first term of an infinite geometric series is – 8, and its sum is . Find the first four terms of the series. An infinite geometric series can be used to model a repeating decimal.
[DOC File]GEOMETRIC SERIES - murrieta.k12.ca.us
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Algebra II Date_____Per____ Find the sum of the geometric series. 1. 2. 3. 4. 5. 6. For part (a), find the sum of the first n terms of the geometric series.
[DOC File]Lesson Plan: Geometric Sequences
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The Sum of Geometric Sequence. Investigation 3: The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of the sides of the original square, and two of the triangles are shaded (See figure in GSP applet). If this process is …
[DOC File]Lesson 8-4 Geometric Series
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The sum of the terms of a finite geometric series is 3069, if the first term is 3 and the constant ratio is 2. How many terms were there? 6. Find the sum of the geometric series . 7. A hot air balloon rises 60 feet in the first minute after launching. In each succeeding minute, it …
[DOC File]What Is A Function
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Infinite geometric series is a difficult concept for many students. Explain that you cannot really sum infinitely many terms. However, you can look at the sum for very large values of n, then investigate what happens as n gets even larger. the following is a summary of some facts about geometric series: A geometric series is a sum of the form .
[DOCX File]IB Survival - Home
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Geometric Sequences & Series IB Questions. 1.The seventh term, u7, of a geometric sequence is 108. The eighth term, u8, of the sequence is 36. (a)Write down the common ratio of the sequence. (1) (b)Find . u. 1. (2) The sum of the first . k . terms in the sequence is …
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