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[DOC File]CHAPTER 10: Mathematics of Population Growth
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Shortcut Method: Write the sum twice, once forward and once backward, line them up and add. GENERAL FORMULA for the Sum (Series) of an Arithmetic Sequence: The sum of N consecutive terms of an arithmetic sequence is one half the product of N (number of terms) times the sum first and last term. A0 + A1 + A2 + A3 +…+ AN-2 + AN-1 = Alternative ...
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[DOC File]PED-HSM11A2TR-08-1103-006-L01.indd
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Aug 09, 2014 · Name Class Date Arithmetic Series. 9-4 Practice Form G Find the sum of each finite arithmetic series. 1. 1 + 3 + 5 + 7 + 9 2. 5 + 8 + 11 + … + 26
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[DOC File]DMR Calculations
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Arithmetic Mean. This is the simple, common averaging of a series of numbers. You add a group of numbers together to get the sum. Then you divide the sum by the number of values you added to get the sum. The result is the arithmetic mean or average of the series of …
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[DOCX File]IB Survival - Home
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A concert choir is arranged, per row, according to an arithmetic sequence. There are 20 singers in the fourth row and 32 singers in the eighth row. (a)Find the common difference of this arithmetic sequence.
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[DOC File]LESSON PLAN (WEEK 14)
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Finding a formula for the sum of the first n terms of any arithmetic sequence through an example (Finite Arithmetic Series): Teacher Activity [8 minutes] Consider the sequence of the first 20 even numbers, 2, 4, 6, 8, …,38, 40 (Confirm that the students know why the sequence is arithmetic) The sum of the first 20 terms is denoted by. Then
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Activity overview:
Problem 3 – Practice finding the sum of a series Find the sum of the first 80 terms of the sequence below. Use both the Lists & Spreadsheet and Calculator applications. 62, 67, 72, 77, 82… What is the sum? Extension. The sum of the first n terms of an arithmetic series can be found by multiplying the number of terms n by the average of the ...
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[DOC File]Mathematics IV - Administration
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Sum of a finite arithmetic series: The sum, Sn, of the first n terms of an arithmetic sequence is given by , where a1 = value of the first term and an = value of the last term in the sequence. Sum of a finite geometric series: The sum, Sn, of the first n terms of a geometric sequence is given by, where a1 is the first term and r is the common ...
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Mathematics Advanced Year 12 Sample Unit Financial …
With teacher assistance as necessary, the class explores a variety of arithmetic sequences and series to develop the recursive definition: T n = T n-1 +d , T 1 =a . The teacher defines d as the common difference and students discuss the situations where d>0, d=0 and d
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[DOC File]Mathematics IV
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Sum of a finite arithmetic series: The sum, Sn, of the first n terms of an arithmetic sequence is given by , where a1 = value of the first term and an = value of the last term in the sequence. Sum of a finite geometric series: The sum, Sn, of the first n terms of a geometric sequence is given by, where a1 is the first term and r is the common ...
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Activity overview:
Using the Lists & Spreadsheet and Calculator applications, they should determine the explicit formula to be 5n + 57 and the sum to be 20,760. Extension. The sum of the first n terms of an arithmetic series can be found by multiplying the number of terms n by the average of the first and last terms.
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Sum of arithmetic series calculator