to keep going month by month‚ the sequence formed would be 1‚1‚2‚3‚5‚8‚13‚21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci sequence. Mathematically speaking‚ this sequence is represented as: The Fibonacci sequence has a plethora of applications in art and in nature. One frequent finding in nature involves the use of an even more powerful result of the Fibonacci sequence: phi and the golden ratio. The following
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Arithmetic and geometric series. 1. Determine the number of terms and the sum of the sequence: 5‚ 11‚ 17‚ … ‚ 83. (14‚ 616) 2. The fourth term and the 8th term of an arithmetic sequence are 16 and 32 respectively. Find: a) Common difference (4) b) the sum of the first 20 terms of this sequence (840) 3. The
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the parabola y = (7 – x)(l + x). The points A and C are the x-intercepts and the point B is the maximum point. Find the coordinates of A‚ B and C. (Total 4 marks) 4. Find the sum of the arithmetic series 17 + 27 + 37 +...+ 417. (Total 4 marks) 5. Consider the arithmetic sequence 2‚ 5‚ 8‚ 11‚ ..... (a) Find u101. (3) (b) Find the value of n so that un = 152. (3) (Total 6 marks) 6. Gwendolyn added the multiples of 3‚ from 3 to 3750 and found that 3 + 6 + 9 + … + 3750 = s. Calculate
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sum of the series. This investigation aims to explore this concept of infinite summation and finally arrive at a general statement to determine the sum of the infinite sequence tn. The analysis will also discuss the scope and limitations of the general statement and test the validity by using various values of a and x. Conclusions will be supported by mathematical examples. The following function will be considered‚ where x and a remain constant throughout the entirety of the sequence and the numerator
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“GOUIN AND THE SERIES METHOD” GROUP ASSIGMENT TEACHING ENGLISH AS FOREIGN LANGUAGE (TEFL) To fulfill the Requirement of TEFL 1 The Subject Guided by Mr. Ahmad Subhan Roza ‚ M.Pd. Presented by: 1. Mutiara Eka Putri : 13107787 2. Retno Asih : 13108177 3. Rudiyanto : 13108357 STATE ISLAMIC COLLEGE OF JURAI SIWO METRO TARBIYAH FAKULTY ENGLISH STUDY PROGRAMME 2015 PREFACE Thanks to God and we always pray to Allah SWT who has given grace and His gift and merciful to us so we are able to
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1 Excel Chapter 6 - Working with Multiple Worksheets and Workbooks MULTIPLE CHOICE 1. The process of summarizing data included on multiple worksheets on one worksheet is called _____. a. summarization c. encapsulation b. consolidation d. recapitulation ANS: B PTS: 1 REF: EX 362 2. _____ format codes allow you to specify how a cell entr y assigned a format will appear. a. Individual c. Custom b. Specific d. Duplicate ANS: C PTS: 1 REF: EX 362 3. You document a workbook by adding _____
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Mathematics SM0013 Topic 6 : Sequences and Series –Tutorial__________________________________________________________________________________________ CHAPTER 6: SEQUENCE AND SERIES Solution 1. (a) 2. (a) (b) (c) 2r 1 r 1 4 8 (b) (6 r) 3 (c) r 1 19 2r 3 (1) r 1 r 6 r 1 14 (d) r r 1 n r 2 k 1 k 1 5 =(1+1)+(2+1)+(3+1)+(4+1)=14 1 1 = 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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Macros are commands that symbolizes a sequence of instructions in an abbreviated form. Those instructions consist of a symbol‚ a name‚ or a key that represents a list of commands‚ actions‚ or keystrokes. A macro is a shortcut to for a task that you do repeatedly (Microsoft Word Macros). In programs like‚ Microsoft words‚ Microsoft Excel‚ and other programs‚ a macro is a saved sequence of commands or keyboard strokes that can be stored and then recalled again with a single command or keyboard stroke
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B.Sc IInd Year (III - semester) MATHEMATICS FOR SESSION (2013 - 2014 only) Paper-I: Advanced Calculus Maximum Marks: 50 University Exam: 40 Minimum Pass Mark : 35 % Internal Assessment: 10 Time allowed: 3 Hrs. Lectures to be delivered: 5 periods (of 45 minutes duration) per week Instructions for paper-setters The question paper will consist of three sections A‚ B and C. Each of sections A and B will have four questions from the respective sections of
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volcanologists. These are often named after famous volcanoes where that type of behavior has been observed. Some volcanoes may exhibit only one characteristic type of eruption during a period of activity‚ while others may display an entire sequence of types all in one eruptive series. There are three different metatypes of eruptions. The most well-observed are magmatic eruptions‚ which involve the decompression of gas within magma that propels it forward. Phreatomagmatic eruptions are another type of volcanic
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