How to find a sequence formula
[DOC File]Arithmetic Sequences
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If a1 is the first term of an arithmetic sequence, an the nth term, d is the common difference, a formula for finding the value of the nth term of an arithmetic sequence is: an = a1 + (n – 1)d. The formula for the nth term of an arithmetic sequence may be used to find any term of the sequence.
[DOCX File]Sequences and Series
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Write a recursive formula for this sequence. A researcher is studying fruit flies. Under the laboratory conditions, each generation of fruit flies is 20% more numerous than the preceding generation. a) If the researcher started with 50 fruit flies, estimate the number in the sixth generation. (The original 50 fruit flies is the first generation.)
[DOC File]Arithmetic and Geometric Sequences
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In a recursive sequence, you need to know the previous term to get the next term. In an . explicit sequence, you can calculate any term in a sequence in a direct way using the first term and the common difference. Use the following formula to find any term of an arithmetic sequence.
[DOCX File]Home / Homepage
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Find an explicit formula for the sequence that represents the number of revolutions after n seconds. Geometric. a n = a 1 r n-1 a 1 =10 r=1-.75=.25 . a n =10 .25 n-1 . 2. Suppose you drop a tennis ball from a height of ; 15 feet. After the ball hits the floor, it rebounds to 85% of its previous height. Write an explicit formula for the sequence.
[DOC File]Fun with Sequences
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6) and the common ratio of this geometric sequence is 6. Write the first 3 terms of the sequence: Write the explicit equation of this sequence: 7) Given the sequence , find . 8) Given the sequence , find the 12th term. 9) If and in an arithmetic sequence, find the 8th term. 10) If and in a geometric sequence, find the 15th term.
[DOC File]WORKSHEET: Arithmetic Sequence & Series Word Problems
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Find the common difference. Find the sum of the first 100 odd numbers. Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, … The second term of an arithmetic sequence is 7. The sum of the first 4 terms of the arithmetic sequence is 12. Find the first term a1, and the common difference, d, of the sequence.
[DOC File]Lesson Plan: Geometric Sequences
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Find the geometric sequence for its area using each of the stages, and write an expression for the nth term. Suppose the area of the square is 1 at stage 0. Find the geometric sequence for its perimeter using each of the stages, and write an expression for the nth term. Suppose the perimeter of the square is 4 …
[DOC File]F.BF.A.2.Sequences
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Determine a formula for , the nth term of this sequence. Use the formula to determine the amount of money, in dollars, Simon needs to pay when the book is 60 days late. 4 The population of Jamesburg for the years 2010-2013, respectively, was reported as follows: 250,000 250,937 251,878 252,822. How can this sequence be recursively modeled? 1) 3 ...
[DOC File]LESSON PLAN (WEEK 14)
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Find a formula for a geometric sequence. Find the nth term of a geometric sequence. Find the sum of a finite geometric sequence. Use a geometric sequence to solve an application problem. Motivation & Warm up discussion: Begin by considering a real-life example which generates numbers that form a geometric sequence.
[DOCX File]Mayfield City Schools
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Write an explicit formula for this sequence. 3.Find the first five terms of each sequence defined by the given formula. Then determine if the sequence is arithmetic, geometric or neither. b. Note: These are variations of the greatest integer function. The first is called the floor function & …
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