Finite arithmetic series calculator
[DOC File]HONORS FST - Dearborn Public Schools
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series: infinite series: finite series: finite/infinite arithmetic series: Theorems: The sum Sn = a1 + … + an of an arithmetic series with first term a1 and constant difference d is given by. Sn = (a1 + an) or Sn = (2a1 + (n-1)d) Teacher Examples: Evaluate: a. 8 ( (n2 – 1) n=1. b. 8 ( …
[DOC File]An Investigation of Sequences and Series
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As expected, finite arithmetic and finite geometric series turn out to be nice and easily predictable. Part 3: Let’s re-visit our first two arithmetic sequences. a: Use the rule you discovered in Part 1a and your calculator’s seq( and cumsum( functions to store the following sequence to List1, List2, and List3.
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.
[DOC File]www.math.uakron.edu
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Know how to identify arithmetic and geometric series, Find the nth term and sum of a finite geometric series, Recognize finite and infinite series, Know how to use the table and function features on a graphing calculator. Necessary Materials: Ruler with centimeters, graphing calculator. Plan: Day 1 (Part 1 for Block Scheduling)
[DOC File]Department of Mathematics : The University of Akron
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Know how to identify arithmetic and geometric series, Find the nth term and sum of a finite geometric series, Recognize finite and infinite series, Know how to use the table and function features on a graphing calculator. Necessary Materials: Ruler with centimeters, graphing calculator. Plan: Day 1 (Part 1 for Block Scheduling)
[DOC File]Mathematics IV - Henry County School District
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Infinite arithmetic series always diverge. Geometric sequences are identifiable by a common ratio and can be modeled by exponential functions. Infinite geometric series diverge if and converge is . The sums of finite arithmetic and geometric series can be computed with easily derivable formulas.
[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
[DOC File]Mathematics IV - Administration
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Infinite arithmetic series always diverge. Geometric sequences are identifiable by a common ratio and can be modeled by exponential functions. Infinite geometric series diverge if and converge is . The sums of finite arithmetic and geometric series can be computed with easily derivable formulas.
[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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