Arithmetic sequence calculator with 2 terms
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.
[DOC File]Honors Discrete Chapter 10 Test Review Guide
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Section 10.2 – LINEAR GROWTH MODEL. Initial Population, P0. Common Difference, d. Formulas for Nth Generation Population: Recursive (Transition): PN = PN -1 + d. EXPLICIT: PN = P0 + d•N Sum of Consecutive Arithmetic Sequence Terms: A0 = FIRST term of addition. AN-1 = LAST term of Addition. N = Number of Terms added. Section 10.3 ...
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]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
[DOCX File]Mayfield City Schools
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2.Write the first five terms of an geometric sequence with initial term 3 and common ratio 4. Write a recursive formula for this sequence.b. Write an explicit formula for this sequence.
[DOCX File]Connecticut
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Exploring Arithmetic Sequences with Calculators. Calculator Tip. We can use calculators to explore, create, and extend arithmetic sequences. Follow the directions below. Type the first number (starting value). Hit . ENTER. Type the operator and the second number. Ans. will appear on the screen representing your first number. In our example, Ans
[DOC File]An Investigation of Sequences and Series
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The cumsum( function produces the terms in a series since it adds the consecutive terms in a sequence. gives the sum of the first n terms in a geometric series where r is the common ratio and r 1. Use the rule you discovered in Part 2a and mathematical induction using ( …
[DOCX File]jamiesdavis.weebly.com
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- 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) + 2 where n ≥ 2
[DOC File]Algebra 2, with Trig
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12.1-12.3 Arithmetic and Geometric Sequences _____ - an ordered collection of numbers. It’s a function whose domain is a set of consecutive integers. The values in the range are called the terms of the sequence. A sequence can either be finite or infinite. Finite sequence 2, 4, 6, 8 Infinite sequence 2…
[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.
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