Targets from Thursday quiz + I can use/apply sequences to model real life scenarios.\). Discussion of fun quizzes – focus on Fibonacci! Fibonaccigoldenratio worksheet- Connecting Fibonacci to Golden Ratio! Find human ratios…anything interesting? an a1+ ( n - 1 ) d an a1(rn-1) Example: Find the 22nd term Example: Find the 6 th term. A geometric sequence can be defined recursively by the formulas a1 c, an+1 ran, where c is a constant and r is the common ratio. The explicit formula for a geometric sequence is of the form an a1r-1, where r is the common ratio. 3 – No help, no questions…I’ve got it!!! 2 – Looked at my notes, asked a question – I’ve almost got it!! 1 – I need a little more help. In an arithmetic sequence each successive term differs by a constant, known as the common difference for example, 3, 2, 1, 0, 1, 2, 3 has a common. Arithmetic vs Geometric Sequence Notation Sequence Notation. A geometric sequence is a sequence in which the ratio of any term to the previous term is constant. Students were asked to self-assess on the target (practice) quiz. ![]() This formula requires the values of the first and last terms and the number of terms. The general (nth) term of an arithmetic sequence, a n, with first term a 1 and common. ![]() for all integers n > 1, d is called the common difference of the sequence, and d a n a n-1 for all integers n > 1. Following is a simple formula for finding the sum: Formula 1: If S n represents the sum of an arithmetic sequence with terms, then. , an is an arithmetic sequence if there is a constant d for which a n a n-1 + d. I can model the sequence with an equation. An arithmetic series is the sum of the terms in an arithmetic sequence with a definite number of terms. ![]() I can find the common difference, d, or ratio, r.I can determine if a sequence is arithmetic or geometric.Create your own geometric sequence and model it with an equation.Create your own arithmetic sequence and model it with an equation.How is the drop height related to the number of bounces?.How is the drop height related to the rebound height?.WCYDWT? Bouncy Ball Students brainstormed: volume, circumference, diameter, measure how high it rebounds, measure the time it takes to bounce, count the number of bounces… Students were asked to think about the bouncy ball more – specifically, Lastly, well learn the binomial theorem, a powerful tool for expanding expressions with exponents. Well get to know summation notation, a handy way of writing out sums in a condensed form. For extra help, see Cool Math Sequences Lessons 1, 2, 5, 7 Wednesday 8/17/11 Spent much of the class answering student questions from previous days assignment. This unit explores geometric series, which involve multiplying by a common ratio, as well as arithmetic series, which add a common difference each time. Monday 8/15/11 Practice with CPS Remotes Entered responses from Algebra I Course Pre-Test Averages were around 35% – but don’t give up – we’ve got a place to begin! Tuesday 8/16/11 Substitute gave examples / notes based on Lesson 1.4 Arithmetic a& Geometric Sequences of the blue workbook. Kuta Software has skills practice, see links below. (No Recursive formulas on the quiz tomorrow like #1 and 2 of Problem Set #9) A sequence is called arithmetic if the difference between a term and the next one is. If not, he can find sample notes at Scroll Down the Class Blog to 8/28 and 8/30 posts for class notes on these models. Section 1.2: Arithmetic and Geometric Sequences. He should have these models listed on INB pages 12 and 13. I can create an algebraic model for the sequence.I can identify starting value and common difference/ratio.solve problems involving geometric sequences. I can identify arithmetic (repeated adding/subtracting) or geometric sequences (repeated multiplication/division). FSc Part 1 (KPK Boards) From this year, the book has been changed.After our self-check quiz today, several students indicated they wanted more practice with the Algebraic Models for Arithmetic and Geometric Sequences.Įxplicit Models require the first terms and common difference or ratio to define the sequence.
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