Explicit formula sequence calculator
Activity overview:
Sequence B. Sequence D. Sequence F. Sequence H. Make a conjecture about the scatter plot of a sequence and the differences between consecutive terms. Problem 2 – Explicit formulas and sums. Substitute 7.5 for u1 and 1.25 for d in un = u1 + (n – 1)d to write an explicit formula for the sequence {7.5, 8.75, 10, 11.25, 12.5, 13.75, …}.
[DOC File]CHAPTER 10: Mathematics of Population Growth
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EXPLICIT FORMULA for an Exponential Growth (r > 0): A term of the population sequence is the product of the initial population (P0) and the Common Ratio (t) to the power of the number of transitions, N. Assume each of the following population sequences begins with P0. Find the explicit and recursive formula for each population sequence.
[DOC File]shsmoore1920.weebly.com
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Algebra 2 - Chapter 1B Review 1. Write an explicit formula for an arithmetic sequence with and a common difference of . 2. Write a recursive formula for the sequence
[DOCX File]Mayfield City Schools
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Lesson 5-6: Recursive & Explicit Rules for SequencesDate _____ Learning Goals: I can. find terms of a sequence which is defined recursively or explicitly. I can. write explicit and recursive rules for sequences. I can. use the explicit and recursive rules to solve problems. I.Many patterns are found within Pascal’s Triangle.
[DOC File]NJ DOE Unit 2_Grade 3
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Part B: Write an explicit rule for the hourly salary. 6. For the pattern above, the total number of boxes used in Figure n can be described by a geometric sequence. Write a recursive formula to find the number of boxes in Figure n. Recursive formula: _____ 7. A recursive formula for a sequence …
[DOC File]Growth Models - OpenTextBookStore
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Find an explicit formula for Pn. Use your formula to predict the store’s sales in 10 years. The number of houses in a town has been growing according to the recursive rule Pn=Pn-1 + 30, with initial population P0=200. Calculate P1 and P2. Find an explicit formula for Pn. Use your formula to predict the number of houses in 10 years
[DOC File]Geometric Sequences
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explicit formula . is a rule allowing direct calculation of any term in the sequence. The explicit formula for the nth term of an geometric sequence is an = a1 • r n – 1. In the Gizmo, set a1 = 8 and r = 0.6 and turn on . Show explicit formula. Use the explicit formula to find a7. Show your work in …
[DOC File]CHAPTER 10: Mathematics of Population Growth
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RECURSIVE FORMULA for a Exponential Growth (r > 0): . EXPLICIT FORMULA for a Exponential Growth (r > 0): Seed, initial value of sequence, is zero term P0: Seed, initial value of sequence, is first term a1: Assume each of the following population sequences begins with P0. Find the explicit and recursive formula for each population sequence.
Activity overview:
Introduce the explicit formula un = u1 + (n – 1)d, where un is any term of a sequence, n is the term number, u1 is the first term, and d is the common difference. (You may wish to explain that this formula is explicit because finding a given term does not require knowing the previous term.)
[DOC File]LESSON PLAN FOR THE TEACHER
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Summarize the possible methods that you can use to determine an explicit formula for a sequence. Discuss the advantages and disadvantages of using a recursive formula versus an explicit formula. Applications to the above work: I am cutting a pizza for my students. Every cut will be a chord of a circle.
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