Formula for arithmetic sequence calculator
Activity overview:
Given several terms of a sequence, write an algebraic expression that generates the nth term. Graph the first n terms of a sequence. 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.
[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:
[DOC File]HONORS FST - Dearborn Public Schools
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Explicit Formula: Recursive Formula: Arithmetic Sequence: Geometric Sequence: Definitions: Sequence. Theorems: Let n be a positive integer and a1 and d be constants. The formulas. a1. an= a1 + (n –1)d and an = an-1 + d, n > 1. generate the terms of the arithmetic sequence with first term a1and constant difference d.
[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.
[DOC File]LESSON PLAN (WEEK 14)
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Find a formula for an arithmetic sequence. Find the nth term of an arithmetic sequence. Find the sum of a finite arithmetic sequence. Use an arithmetic sequence to solve an application problem. Motivation & Warm up discussion: Begin by considering a real-life example that generates numbers that form an arithmetic sequence. Example: [2 minutes]
[DOCX File]IB Survival - Home
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The first term of a geometric sequence is 6. The 6th term of the geometric sequence is equal to the 17th term of the arithmetic sequence given above. (b)Write down an equation using this information.
[DOC File]Mathematics Enhanced Sample Scope and Sequence
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Use the matrix sequence and a graphing calculator (or computer algebra system) to find the 50th number in the Fibonacci sequence. ... Find the nth term of an arithmetic sequence and find the position of a given term in an arithmetic sequence. ... An “Inventing a Formula for Arithmetic Sequences” handout for each student.
[DOC File]CHAPTER 10: Mathematics of Population Growth
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GENERAL FORMULA for the Sum 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 = Find the given sum for the arithmetic population sequence: a) P0 = 25, P100= 1725; P0 + P1 + … + P99 + P100
[DOCX File]jamiesdavis.weebly.com
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Recursive formula - formula that defines a sequence, must specify one or more starting terms and a . recursive rule. that defines the . n. th term (any term/number) in relation to the previous term(s) For example, if your sequence is 4, 6, 8, 10, 12 we can create a formula that worksour first term, 4, would be labeled as: f(1)= 4. f(1)= f(n-1 ...
[DOC File]Mathematics IV
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Add the two resulting equations. Use this to finish deriving the formula for the sum of the terms in an arithmetic sequence. Try it out on a few different short sequences. Use the formula for the sum of a finite arithmetic sequence in part (e) to verify the sum of the areas in the target from part (d).
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