Answer true or false. If you select false, be sure to explain WHY in your work. The Fibonacci sequence can only be characterized by the following recursive formula: an (an-1) + (an-2)

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

Q: Write a recursive formula for finding the nth term of each arithmetic sequence. 15.75, 14.25, 12.75,…

A: First Term of the sequence is a1=15.75 common difference is: d=an-an-1=a2-a1=14.25-15.75=-1.5…

Q: A sequence is defined recursively by an +1 = 3a, - n, a1 = 2. Find the first six terms of the…

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Q: Un=11n-7  Calculate  the first 4 terms of the sequence

A: For the first term, n=1, so Un=11(1)-7=4For the second term, n=2, so Un=11(2)-7=15For the third…

Q: In an arithmetic sequence, if az = -12 and ag =-31, then the common difference d is O 19 O 22 O 21 O…

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Q: Find the common difference and the sum of the first 5 terms of the arithmetic sequence. an = 5n – 2

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Q: Given a term in an arithmetic sequence and the common difference find the explicit formula.

A: Let  a sequence is    a,  a+d, a+2d, a+3d, a+4d,.....     , where  First term = a  and   Common…

Q: Find the recursive and explicit formula for each arithmetic sequence. Explicit formulas need to be…

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Q: If the 100th term of an arithmetic sequence is 200, and its common difference is 2, then its first…

A: Given an arithmetic sequence100th term of this A.P=a100=200common  difference=d=2

Q: Solve for the given terms in a Fibonacci sequence using the Recursive definition a. 15th term b.…

A: We will solve the following

Q: The first term ao of a geometric sequence is -10, and the common ratio r is -3. What is the…

A: The formula for the nth term of a geometric sequence is given by an=a0rn-1, where a0 is the first…

Q: For an arithmetic sequence, a25 32. If the common difference is 1, find: a1 = the sum of the first…

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula: =…

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Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1 2 3 4 Term…

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Q: %3D

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Q: There are many examples of the Fibonacci sequence in nature. O True O False

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Find an explicit formula for the arithmetic sequence Cn that is given below. Note that C1 = -2.…

A: you can clearly understand if you follow the below solution

Q: Write a recursive formula for the arithmetic sequence bn given below. −14,−18,−22,−26,−30,…

A: We can solve this as follows:

Q: Write a recursive formula for finding the nth term of each geometric sequence. 5, 20, 80, ...

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Q: Find a recursive formula for the arithmetic sequence 18, 12, 6, 0, ... .

A: We have to find a recursive formula for the arithmetic sequence 18, 12, 6, 0, ...

Q: An ontario lottery has the following structure,the first person drawn from the names wins $15000.…

A: We will find out the required values.

Q: If the general term of an arithmetic sequence is a(n) = 7n - 3, find the sum of the first 7 terms of…

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Q: Show that the sequence is arithmetic. Find the common difference and write out the first four term

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Q: Determine whether the sequence is geometric. If so, find the explicit formula for the sequence.

A: The given sequence is : 5, 1, 0.2, 0.04,..... Geometric sequence, is a sequence of numbers where…

Q: In an arithmetic sequence a1, a2, , an, if the first term is 4 and the common difference is 4, then…

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Q: Which explicit formula describes the arithmetic sequence {19,14,9,4,...}

A: The arithmetic sequence is given by 19, 14, 9, 4, ····· To determine : The explicit formula of the…

Q: If the 100th term of an arithmetic sequence is 182, and its common difference is 2, then its first…

A: Given that the 100th term of an arithmetic sequence is 182 and its common difference is 2.

Q: If the expressions X+2, 3x-8, 4x+2 represent the first three terms of on arithmetic Sequence, then…

A: First term , a1 = x+2 Second term, a2 = 3x -8  Third term, a3 = 4x +2  Eighteenth term, a18 = ?

Q: Find the common difference and the sum of the first 8 terms of the arithmetic sequence. an = 4(n-1)…

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Q: An arithmetic sequence will always have a common ratio. O True O False

A: In an Airthmetic sequence the difference between one term and the next is a constant.We just add the…

Q: Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, …}

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Q: If the 100th term of an arithmetic sequence is 476, and its common difference is 5, then its first…

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Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

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Q: What are the first five terms in the recursive sequence defined by the following? a1=1 a2=1…

A: The given recursive sequence is  an = an-2 + an-1  ..... (1) a1 = 1,  a2 = 1

Q: Find the recursive and explicit formula for each arithmetic sequence. Explicit formulas need to be…

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Q: An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its…

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Q: The explicit formula of an arithmetic sequence is an =-4.5+6.5(n-1), what is the recursive formula?

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: SKETCHPAD Question 8 a =(-1)²"(n – 10), What is the 9th term of the sequence Show your work Note: If…

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Q: An arithmetic sequence is given below. 20, 15, 10, 5, ... Write an explicit formula for the n th…

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Q: Is the sequence shown in the picture bounded? Why or why not? What work has to be done to show if a…

A: The given sequence is: an=1,4,7,10,.....  Given sequence is a arithmetic progression with: an…

Q: Write an explicit formula for the nth term of the arithmetic sequence. Find the sixth and tenth…

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Q: A particular arithmetic sequence begins 2, 9, 16, . Find the sum of the first 100 terms.

A: 2, 9, 16, ........ It is an arithmetic sequence with,

Q: Use the approach in Gauss's Problem to find the sum of the arithmetic sequence: 6+12+18+...+600

A: We Help of the Gauss's Problem to find The sum of the arithmetic sequence.

Q: Determine if the sequence is arithmetic. If it is, find the common difference, the explicit formula,…

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Q: In an arithmetic sequence a1, a2, · ·., an , if the first term is 3 and the common difference is 4,…

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Q: If the 100th term of an arithmetic sequence is 589, and its common difference is 6, then its first…

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Q: In an arithmetic sequence , if az = -8 and az = -23 , then the common difference d is. O - 18 O 17 O…

A: In an arithmetic sequence, if a2 = -8 and a3 = -23 , then the common difference d is

Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: a1=10 and an=an-1+2

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.