Write an explicit formula for each recursive formula and a recursive formula for each explicit formula. 7. a1 = 5 8. a1 = -8 9. an = 15 + 4n an = an-1+3 an = an - 1- 3

Q: Given the recursive formula: an = an-1 + 12 and a1=3. %3D Find the 4th term. O A. 15 ов 3 ос. 27 о…

A: The value of the nth term from the recursive formula can be calculated by evaluating the values of…

Q: HW4 Consider What do we know? Write out the first five terms.

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Q: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is…

A: The rate at which the number of speeding tickets grow is 10% the recursive formula is given as…

Q: 48 1S 21, 27, . S. 1.5, 2.25, 3, 3.75, ... 6. 7, 0,-7,-14, ... Recursive: Recursive: Explicit:…

A: As per guideline we have to solve one question

Q: 2. Use the fractal pattern to write the recursive and explicit formula. a. What is the patterm? List…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Write a recursive rule for a =14-9n. o q=14. a, -4,1-9 %3D14,a n-1 o q-11. a, - Da, %3D14, a -9. a a…

A: We can solve the given problem using Normal algebra.

Q: S is a set of arithmetic expressions recursively defined as follows Base case: Every variable from…

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Q: 35. The text states: If the decimal expansions of numbers a and b agree to k places, then |a – b| <…

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Q: 3. The ordered pairs, (1, 3), (3, 6), (5, 9) show the cost of theater tickets. For 1 person, the…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Asequence is defined recursively Write the first five terms. a, = - 3 :

A: a1 = -3 a2 = 2 - 3 = -1 a3 = 3 - 1 = 2

Q: Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh as a…

A: we will solve this question by assuming the age of Diophantus to be x years and then proceeding as…

Q: (b) Ugh is a Stone Age stone man. He is really good at making bricks. His intention is to make a…

A: Given, Top brick has an overhang of 1/2, the second brick overhangs by 1/4 and so on with the n-th…

Q: a.A mathematics professor recently purchased a birthday cake for her son with the inscription "Happy…

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Q: a mathematical expression for each. 1. Carlo's age in 15 years B. a to be by a then write a

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answers…

Q: Write a recursive definition for the explicit formula. An (5) (n- 1) + 12 An= a(n-1) a1

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Q: Show that if p + q, then the formula: (1)* - 1 A fulfills the recursion formula - A -p. Ass +a A-1,…

A: The given formula is  Ak=qpk-1qpa+b-1. Consider,…

Q: Discrete Math :   Define  an by an  = 4a n-1 + 5a n−2, n ≥ 2, a0 = 5, a1 = 13. Find an explicit…

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Q: Fred opens an account with $2500. Each month, the balance in Fred’s bank account earns interest so…

A: Given- Fred opens an account with =$2500 New balance after interest = 1.003 times the previous…

Q: 1. A new housing division is being developed in Mesquite, Nevada. Their plan is to build 12 houses…

A: Since you have Posted a question with multiple sub-parts we will solve the first three sub-parts for…

Q: 5 Students are selected from a group of 13 students for prizes. How many different possible groups…

A: Permutations and combinations

Q: Determine if it is true or false: 1. For an = n(4n - 5)/ 2, the first term in the sequence is 1.…

A: We  are given with multiple number of question and our guideline is solve first question only.

Q: Suppose each of them tells 1 person, and then everybody tells exactly 1 other person, and so on.…

A: Given,  each of them tells 1 person, and then everybody tells exactly 1 other person, and so on.…

Q: 3. A research lab is to begin experimentation with bacteria that doubles every hour. The lab starts…

A: Introduction: A recurrence relation is a mathematical equation that expresses the nth term in a…

Q: You rent an apartment that costs $1200 per month during the first year, the rent is set to go up…

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Q: 3. The United States population grows at a rate of 0.5% a year. We have around 328.2 million. What…

A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: _10. If 7-2 is raised to the power of 3, which of the following describes the result? a. a number…

A: As we know that a-b=1/ab (1/ab)c=1/abc

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1+ an-2+ 5, express a, in terms of n. %3D 3. Let, a, =…

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Q: Vrite a recursive definition for the explicit formula. An (5) (n- 1) + 12 ai An = a(n-1)||

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Q: 10^n-3 first five  terms

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Q: recursive formula for each 7. 3, 5, 7.... 10. 0.2, 0.5, 0.8,..

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Q: Which choice represents the recursive formula for 0.4, 0.04, 0.004, 0.0004, ...? a, = 0.1 ·1. a(n–1)…

A: The given sequence is  0.4, 0.04, 0.004, 0.0004,............

Q: kills 1. Marko currently has 20 tulips in his yard. Each year he plants 5 more. a. Write a recursive…

A: Marko has currently 20 tulips in his yard. Every year he plants 5 more. P0=20 , d=5 a Recursive…

Q: uence has nth term given by an=5n-2, find the value of n for which an=153. A sequence has nth te

A: Part(i): Given, a sequence has nth term given by an=5n-2.          and an=153.

Q: Tacoma's population in 2000 was about 200 thousand, and had been growing by about 9% each year. a.…

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Q: There are 18 terms in the expansion of (a-5)24 **. The value of a, where a is a natural number, is

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Q: (O) = 90 (10 (10 5

A: Given: C410×C16=C510×C45

Q: (c) Let a1 = 1 and let a2 = T. For n > 3, we define recursively an = an-2 – an-1. Is it true that…

A: As per company guidelines we are supposed to answer one question at a time. for solution of other…

Q: Write a recursive definition for the explicit formula. ал — ( -1) (n - 1) – 2.2 an ai an = a(n-1)

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Q: Write the recursive definition for an = pn n! where a1 = p.

A: The recursive formula is used to describe the relationship between two terms of any sequence. The…

Q: Given the recursive formula, ƒ (n) = f (n − 1) + ƒ (n − 2), n ≥ 3, and ƒ (1) = ƒ (2) = 1. What is f…

A: Answer: The solution is given below:

Q: (c) If 0 < k < n, prove the formula n(n - 1) -- (п - k+ 1) k k! (d) A class contains 10 students, 6…

A: The difference between permutation and combination is that A permutation is a method of arranging…

Q: A sequence is defined recursively by  an + 1 = 3an − n, a1 = 3.  Find the first six terms of the…

A: A detailed solution is given below.

Q: 4) Consider the following recursive formula a, = a-1- V3, where n2 2and the first term is a = 12…

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Q: a, =3, a, = -6 a,-1+2, for n> 1 What is the first term? a, 口

A: topic- sequence and series

Q: Write a recursive rule for an=3n−6 answer options- a1=−6, an=an−1+3 a1=−6, an=3an−1 a1=3, an=an−1−6…

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Q: Hareem takes a medicine to control his blood pressure. He takes a 25 mg pill in the morning. Suppose…

A: Hareem takes a medicine to control his blood pressure. He takes a 25 mg pill in the morning.…

Q: Think back to the magical candy machine at your neighborhood grocery store. Suppose that the first…

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Q: a. A mathematics professor recently purchased a birthday cake for her son with the inscription…

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