C. Using the recursive definition =3 (a,)` - ; if a, = 2. Create a sequence for the first five terms. 1 2 3 4 5 2

Q: Suppose we have the sequence 5, 5/9, 5/81, 5/729, ... Find an explicit formula for the nth term of…

A: Given Data: Sequence: 5, 5/9, 5/81, 5/729 Check common ratio for a geometric sequence. The common…

Q: Suppose that the sequence {a}, is =1 1,3, 5, 7,9, 11, 13, .. Find the sum s=E k=1

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Q: 1. Find the first four terms of the sequence whose nth term is an = 2 + 3n. * 5, 7, 9, 11 O -1, -4,…

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Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

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: The general term of the sequence 1, 2' 4'8' - , starting by n=0 is +00 n=0 +00 (ii n=0 (iii)None of…

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

Q: The sum of the first 20 terms of the sequence O.7,0.77, 0.777,.. is

A: We have to find the sum of first 20 terms of the sequence: 0.7, 0.77, 0.777, ..... Assuming the…

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: 11. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively, what…

A:

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: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

A: A sequence is a function which domain being the set of natural numbers and the range being the set…

Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)

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

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

A:

Q: Determine the sum of all the 1st 71 terms of sequence 2, 5, 8, 11, 14. a. 7590 b. 7600 c. 7597…

A: Here, a1=2,a2=5d=a2-a1=5-2=3

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: What is the 7th term of the geometric sequence defined by the rulean = -3(2)^n-1 ?

A: What is the 7th term of the geometric sequence

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

A: We have to give a recursive definition of the sequence an where an=  n(n+1) for n= 1,2,3,....

Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -

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Q: Write the first five terms of the recursively defined sequence. 1. 2 21 = 14, ag+1= a, = a3 as || ||…

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Q: For the sequence defined by: a1 = 2 2 an +1 - - an Find: a2 = a3 a4 = II

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: 00 are: The five first terms of the sequence {4n – 1},-1 O3 O 3+7+11+15+ 19... O 3,7,11,15,19,... O…

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Q: Find the first 4 terms of the sequence defined byf (n) = 1/2n+ n.

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

Q: Find n such that the geometric sequence becomes less than 1: {400, 240, 144, 86.4, ...} n3D

A:

Q: Find the first five terms of the sequence defined recursively below. Aj = An = -an-1 +n – 8 Select…

A: The recursive relation a1=7, an=-an-1+n-8. We have to find the first five terms of the given…

Q: 1. What is the 16th term of each sequence shown below. a) 2, 10, 18, ...

A: a. 2,10,18,.... To find the 16th term.

Q: Suppose that the sequence {ax}ı is k= 1,3, 5, 7, 9, 11, 13,.. What is a;?

A:

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

A:

Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

Q: 1) Find the first five terms of the sequence as well as the 30th term of a, = 2n

A: Since there are multiple questions the first questions is answered as per our guidelines. kindly…

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: 4 if it exists. 8. Find the infinite sum of the geometric sequence with a = 5, r = I.

A: The infinite sum of the geometric sequence with the first term ''a'' and common ratio r  is   .…

Q: Find the first 5 terms of the sequence defined byan = (-1) n (2n).

A: The given sequence is an = (-1)n (2n)

Q: c) Write the explicit formula for the nth term of the sequence below. d) Prove that mathematical…

A:

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

A:

Q: Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the…

A: Given: A sequence: 294,42, 6,6/7,.................................. To find: If sequence is…

Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

A:

Q: Consider the following sequence: 3,9,15,21,... Find the 50th term of this sequence.

A: This is an arithmetic sequence with the common difference =d= 9-3=6 And the first term = a_1= 3

Q: Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, ...…

A: The geometric sequence is given by 45, 135, 405, 1215, 3645, ....... To evaluate : The explicit and…

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: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____

A: Given: a=5,d=4

Q: 1.) Show that the sequence 2,11, 20, 29, ... is arithmetic.

A: we have to show that the given sequence is arithmetic

Q: What is the general formula for the nth term of the sequence –4, 1, 8, 17, 28, ...?

A: To determine the general formula for the nth term of the following sequence.  –4, 1, 8, 17, 28, ...…

Q: My sequence has the following terms: -100, 00 3 10000 20000 7 1000000 31 - 3 J...

A: This question can be solved by applying the concept of finding general term of a sequence.

Q: I) Consider the sequence 4, 6, 8, 10, 12, (a) If {an} denotesthis sequence, then n=1 a1 =

A: Given the given sequence is 4, 6, 8, 10, 12, ···

Q: B. Express a, in terms of n for each of the following sequences. 4. 2, 4, 8, 16,... 5. 5, 11, 21,…

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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: 1. 3,6, 12,... n = 12 27 2. 12, 9, 4 n = 5 ....

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Q: 2. Write a recursive definition for the sequence 14, 10, 6, 2,... Oaj = 14, an = an-1+4 %3D Oa = 2,…

A: To write a recursive defintion for the sequence 14, 10, 6, 2, ...

Q: 4. What are the first five terms of the sequence for a1=-2 and an=2an-1+5?

A:

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.