87. DISCUSS: A Recursively Defined Sequence Find the first 40 terms of the sequence defined by if a, is an even number 2 An+1 = (3a, + 1 if a, is an odd number and a, = 11. Do the same if a, = 25. Make a conjecture about this type of sequence. Try several other values for a1, to test your conjecture.

Q: 60, 30, 0, -30 ,.. This sequence is: Arithmetic, Geometric, Neither

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Q: 1. The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common…

A: GivenFirst term of arithmetic sequence 'a' = 5Eleventh term of arithemetic sequece 'T_11' = 125

Q: Write the terms of a sequence defined by a recursive formula with more than one initial term…

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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: A 5. What are the first five terms in the recursive sequence defined by the following? 4 5an-1+ O…

A:

Q: paper, cessary. 1. In the arithmetic sequence -8,-6,-5,., which term is 8? 2. Which term of the…

A: Note: nth term of A.P tn = a + (n-1)d where a is first term and d is common difference. 2)  a= 2.4…

Q: .A sequence can be generated by using an = a(n-1) + 6, where a = 3 and n is a whole number greater…

A: The given sequence is an=an-1+6 where a1=3. Put n = 2,  a2=a1+6=3+6=9 Put n = 3, a3=a2+6=9+6=15 Put…

Q: 3 Suppose we know the second term of a geometric sequence is and the fourth term is 50' Further,…

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Q: 14. What are the first five terms in the recursive sequence defined by the following? a2 =1 an = An…

A: Given the recursive sequence an=an-2+an-1. We need to find the first five terms of the recursive…

Q: 4.) Consider the arithmetic sequence 23,34, 45, 56 .. a.) Find the 25th term of the sequence. b.) Is…

A:

Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

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

A:

Q: A sequence can be generated by using an = 3a (n – 1), where a1 = 5 and n is a whole number greater…

A: Given,     an=3an-1,  where  a1=5 and n is whole number greater than 1.

Q: Write an explicit rule for the geometric sequence, Then find the indicated term of the sequence. 11.…

A: topic - geometric sequence

Q: a1, a2, a3, . be a geometric seq is also a geometric sequence by that af, a3, až, (a) Σ (1- ). (Φ)…

A: Given ∑n=15(1-n2)

Q: 16. Which arithmetic sequence has a common difference of -21? O {873, 894, 915, 936, ..} O {32, 20,…

A: Given:  (1) 873, 894, 915, 936, ...(2) 32, 20, 8, -4, ...(3) 1663; 1587; 1611; 1635; ...(4) 1245;…

Q: 1. The first term of an arithmetic sequence is 9689 and the 100th term is 8996. a) Find the general…

A: The solution is given below

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: 11. What are the first five terms in the recursive sequence defined by a1 = 2 3D3 a2 = 3 an = an-2…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: C. Using the recursive definition =3 (a,)` - ; if a, = 2. Create a sequence for the first five…

A: a1 =2 a2=7 a3=142

Q: 14. Which explicit formula describes the geometric sequence {, ,7 8T}? 1 1 O an = (3)"-1 O + (n –…

A:

Q: 3. Given the recursive sequence defined by a1= 1, az= 2, an= 3an-r+2an-2 , find the terms a3, a4,…

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Q: An arithmetic sequence is given below. 5, 12, 19, 26, -.. th term an Write an explicit formula for…

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Q: Consider the sequence: 9, 12. 17, 24,33 What is the explicit expression of the sequence? Find the…

A: As it is mentioned to write the quadratic equation for the explicit expression of the sequence,…

Q: 6 The nth tem ofa sequence is.guen find the first five terms of the sequence.

A: Simply put different values of "n" to get the desired term.

Q: Here are the first four terms of an arithmetic sequence 6 10 14 18.An expression for the nth term of…

A: Given : 6 10 14 18

Q: Determine whether the sequence is arithmetic, geometric, recursive, or none. Write the explicit…

A: We have to solve given problem:

Q: 1.Give a recursive definition of the sequence {a,}, n = 1, 2, 3... if a„=2" + 1

A:

Q: The first three terms of a geometric sequence are as follows. 32, 16, 8 Find the next two terms of…

A: We have to find next two terms of the given geometric sequence: 32, 16, 8 Here, First term, a=32…

Q: The sequence 2, 6, 24, 120, . . .  is an example of a geometric sequence.Determine whether the…

A: Consider the given sequence 2, 6, 24, 120,.....

Q: 1. What are the next three terms of the sequence shown below? 3, -6, 12, -24, ...

A: the given sequence is 3, -6, 12, -24,...............

Q: What are the first five terms in the recursive sequence defined by a1 2 a2 3 An = an-2 · An-1? O {2,…

A:

Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

A:

Q: estion 28 Find the next term of the sequence: 243, 81, 27, .... A Moving to another question will…

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Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: Arithmetic Sequence Formulas:- nth Term Formula:-  an = a1 + (n – 1)d Sum of First n Terms  :- Sn =…

Q: 12. Write a rule for the nth term of the arithmetic sequence: 8, 3, -2, -7, -12,.. an

A: To write the nth term of an arithmetic sequence.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: The sequence is given as 3, 12, 21, 30, ....

Q: Use the recursive definition to find the first four terms of the arithmetic sequence it defines. an…

A: To find the first four terms

Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: Sequence is,  {5, 1, 0.2, 0.04, ....... }    Hence,  Ratio of T2 and T1  =  1/5  Ratio of T3 and T2…

Q: What is the explicit rule for the nth term of the geometric sequence? 3, 18, 108, 648, 3,888, O an =…

A:

Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

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Q: What are the first five terms in the recursive sequence defined by a1=2, a2=3, an=an−2⋅an−1?   a…

A: To the first five terms in the recursive sequence defined by a1=2, a2=3, an=an−2⋅an−1

Q: The sequence is geometric: 3, 13, 23, 33,.. O True False

A:

Q: The "Tribonacci" sequence is the sequence defined by To = T1 = T2 =1 and %3D Tn+3 = Tn + Tn+1+Tn+2…

A: The ''Tribonacci'' sequence is the sequence defined by,  T0=T1=T2=1 and Tn+3=Tn+Tn+1+Tn+2

Q: 24 Use a graphing calculator to find the first 10 terms of the sequence an = n its 9th term is its…

A: We have to find

Q: 12. The first term of an arithmetic sequence is 11. It's 32nd term is 600. Determine the sum of the…

A: We have to find sum of the sequence

Q: What are the first five terms in the recursive sequence defined by a1=2 a2=3 an=an-2*an-1

A: Given: a1=2, a2=3, an=an-2·an-1 To find first five terms in the given recursive sequence. Solution:…

Q: It is given that three positive integers form an arithmetic sequence. Find these three integers if…

A: Let the three integers be a-d, a and a+d.

Q: Provide a Geometric Sequence, by either giving a General rule or explicitly listing the first five…

A: the general form of a geometric sequence is: a,ar,ar2 ,ar3 ,ar4 ,..... The nth  term of a geometric…