4. Give a recursive definition of the sequence an if an = n(n+1), where n = 1, 2, 3, ... %3D

Q: Give the first four numbers of the following sequence. A geometric sequence with first term = 1.2…

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Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.

A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…

Q: 5. Calculate the sum of the first 23 terms of the sequence defined below. tn 10+ 3n, n E N

A: We have to find the sum

Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

Q: For the sequence defined by: ai = 3 1 + 4 An ап +1

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Q: 5. What is the 1lth partial sum of the arithmetic sequence {1, 7, 13, 19, ..}? S1 = 257 %3D O S1 =…

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Q: Find the first five terms of the explicit arithmetic sequence. an = 4n 2 %3D O 2, 3, 4, 5, 6 O 6,…

A: we have to find the first five terms of the explicit arithmetic sequence an=4n-2 .

Q: Determine whether the sequence converges In n 2) a, n

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Q: d.Write only the first 4 terms in the sequence defined by the formula given below: k az = 2 for all…

A: First four value is  0 ,0 ,2 ,2

Q: Create an explicit equation for the recursively-defined sequence below. **Optional table** to help…

A: t1=15,tn+1=3·tn So, n=0 gives t1=3·t0                   ⇒15=3·t0                   ⇒t0=153=5

Q: Find the sum (to the nearest hundredth) of the first 17 terms of the sequence defined by the…

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Q: 30. Find the sum S20 of the first 20 terms of the arithmetic sequence given by an = 5 – 2n.

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Q: Write an explicit formula for an, the n' th term of the sequence 4, –20, 100, ....

A: Here we have to write an explicit formula for an  In the given sequence    a1 = 4 , a2 = -20 , a3 =…

Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

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Q: 1. What is the 5th term of the geometric sequence described by a, = 5(1.5)"? %3D O az = 5.0625 %3D O…

A: The given question can be solved as shown in step2

Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: If a(n) = 1/((n)*(n+1)), what is the 5th term of the sequence. Here, n is a positive %3D integer.…

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Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

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Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…

A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…

Q: 11. Give an example of each of the following, or explain why such an example cannot exist. (a) A…

A: A sequence <an> is convergent and converges to 'a' then every subsequence converges to…

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 5/1 , 7/2 ,…

A: The detailed solution is given below Thank you

Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: 5. What are the first five terms in the recursive sequence defined by the following? aj = 0 Chn =…

A: Given: The recursive  equation as  a1=0,an=an-1-1.4 To find: First five terms of the given recursive…

Q: Find the first 5 terms of the sequence defined byan = 10/n .

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

Q: Suppose that a sequence is defined as follows. a1 =-4, a,= 3a,-1+7 for n22 %3D List the first four…

A: A sequence is defined as follows:- a1=-4, an=3an-1+7 for n≥2 Then for n=2: a2=3a1+7…

Q: (2n + 1) ifn is divisible by 4 18. a 21 if n is not divisible by 4

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Q: () What will be the 7th term in the sequence defined by gn = 2 · n-1 Enter your answer as a…

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Q: Consider the following sequence 4/7, 9/14, 5/7, 11/14, ____, if arithmetic, give d. and supply…

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Q: The following sequence is geometric: -1, 1, -, . O True O False

A: Given the geometric sequence−1,12,14,−18

Q: For the sequence defined by: ai = 2 1 + 5 An аn + 1 — Find: a2 az = a4 = II

A: To find  a2 , a3 , a4  substitute n=1,2,3 respectively  in the given equation.

Q: Suppose the sequence {an} is defined by the explicit formulaan = 1/n, for n = 1, 2, 3, ⋅ ⋅ ⋅. Write…

A: Given:an=1n, n=1,2,3.........a1=?a2=?a3=?a4=?a5=?

Q: Find the sum to infinity of the geometric sequence given below 1. 12, 4. .. .... 2. 900, 9, 0.09,...…

A: 1): Hera1=12a2=4a3=34This is not a geometric progression as a1a2 and a2a3 are not equal.SO, it is…

Q: Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

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Q: Consider a sequence generated by the formula ​f(n)=3n-9​ starting with ? = ?.

A: Consider a sequence generated by the formula ​f(n)=3n-9​ starting with

Q: 9. Find the explicit formula for a sequence satisfying а, %3D10а,, + 25а, _,n22 n-1 а, %3D 3, а,…

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Q: Ind the first four terms of the sequence given by the following. q=(-1)^2n², n = 1, 2, 3, ...

A: Given: Sequence is an=-1n·2n2. To find: First four terms of the sequence.

Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a, +10 for n>2 List the first four terms…

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Q: Suppose c0, c1, c2, ... is a sequence defined as follows:  c0 = 2, c1 = 2, c2 = 6, ck = 3ck-3 for…

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Q: d. If the chosen sequence has a finite number of terms and its sum i are there? e. Express the…

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Q: the n^th term of the following sequence 1,4,7,10,...is

A: For given sequence a1 = 1 a2= 4 a2 = a1 + 3

Q: 1 n(n+1)

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Q: Find the fourth term of the recursively defined sequence. 1 an = 5 2 + a n-1

A: To find the fourth term of the given recursively defined sequence.

Q: Find the first four terms and the nth term of the infinite sequence defined recursively as follows:

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Q: 1. Find an explicit formula for the general term of the given sequence: 5, 10, 20, 40, 80,…..

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

Q: If the explicit nth term formula for the given sequence is an = 2n2 + bn +c, then b= and c= 5, 10,…

A: Plugging n=1, an=2n2+bn+ca1=212+b1+c5=2+b+cb+c=3 Plugging n=2, an=2n2+bn+ca2=222+b2+c10=8+2b+c2b+c=2

Q: 1. What are the first five terms in the recursive sequence defined by the following? a1 = 150 an =…

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Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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Q: Give a recursive definition of the sequence {an}, n = 1, 2,... if: a. an=4n-2 b. an=1+ (-1)"

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Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.