Explicit formula for sequence calculator
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]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 …
[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.
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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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.
[DOC File]UNIT 1 - ARITHMETIC & GEOMETRIC SEQUENCES
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Find the missing terms for each sequence and state the common difference/ratio. Write an explicit rule . AND. a recursive rule for the nth term of the sequence. Then find . 1) Arithmetic or Geometric Sequence (circle one) Common difference/ratio:_____ Explicit Rule:_____ Recursive Rule:_____
[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
[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.
[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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