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[DOC File]Sequence and Series – TI-83 lab
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arithmetic sequence . with common difference d and first term u(1) or , then the . sum of the first n terms. of the sequence is represented by: This sum can be found by using the formula: Given = 7n-3. Write the first 8 terms. Use a calculator to add the first 8 terms. The sum is represented by . = _____. Use the formula described above to find ...
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Activity overview:
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 first and last terms.
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[DOC File]Lesson Title
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Allow students to use talking graphing calculator software. Tic-Tac-Toe. Sequences and Series. Find the first of three arithmetic means between 24 and −8. Find for the arithmetic sequence . Find if and =. How many terms are in the series 5 + 7 + 9 + … + 99 + 101? Find the 20th term of ,… Find the sum of .
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[DOC File]Mr
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Arithmetic & Geometric Sequences Day 1 HW 2 Sequence Notation & Related Word Problems. Day 2 HW 3 Modeling Growth. Day 3 HW 4 A First Look at Limits Day 4 HW. 5 Recursion Routine for Sequences (Calculator Program 1C) Day 5 HW. 6 A Recursive Look at Series (Calculator Program 1D) Day 6 HW 7 Sequence or Series?? Day 7 HW 8 Sigma Notation Day 8 HW
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Activity overview:
Derive and apply a formula for the first n terms of an arithmetic sequence. Teacher Preparation and Notes. This activity is designed to be used in an Algebra 2 classroom. Students should begin this activity knowing that a sequence is an ordered list of numbers that follows a pattern and that a series is an indicated sum of the terms in a sequence.
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[DOC File]Department of Mathematics : The University of Akron
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Extension. Consider the series 8 + 4 + 2 + 1 + … developed in Part 1 of this activity. Recall that the sum was determined to be 16. Now consider the sequence of partial sums for this series: 8, 12, 14, 15, 15.5, 15.75, … Write a rule for the sequence of partial sums. Graph the series on your graphing calculator on the window [0,20] X [0,17].
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[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.
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[DOC File]CHAPTER 10: Mathematics of Population Growth
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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 Formula: a1 + a2 + a3 +…+ an-1 + an = Find the given sum for the arithmetic sequence:
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[DOC File]MATHEMATICS
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To have the concept of an arithmetic mean (A.M) and of n arithmetic means between two numbers : to be able to find a A.M and to insert n AMs between two numbers. To know the definition of a series and its distinction from a sequence: to establish the formula for finding the sum upto n terms of an arithmetic series and be able to apply this formula.
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[DOC File]LESSON PLAN (WEEK 14) - Arizona State University
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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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Arithmetic sequence and series calculator