Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0, 3, ...} O B. (5, 2, 1, -2, -5, ...} O C. (4, -1, 4, -1, 4, ...} D. {8, 5, -2, 3, 0, ...}

Q: Find the number of terms in each sequence: Formula: a, = a1 (r-1) 2. (11, -22, 44, . , 704} 1. (4,…

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

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

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: The first four terms of the sequence defined by An — пар-1 + п*a,-2, do — 3, а1 = 3, a1 = 4 are ao =…

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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: 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: 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: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

A:

Q: A sequence is shown in the graph. (1,6) 2 (2, 3) (3, 1.5) (4, 0.75)

A: Given Figure :-

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: Find an expression for the nth term of the arithmetic sequence. -1, 5, 11, 17, 23, ... O A. a, - 6n…

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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: 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: Suppose that a sequence is defined as follows. a, =7, a,=a,-1-3 for n>2 List the first four terms of…

A: The objective of the question is determine the four terms of the given sequence.

Q: Find the erplicit formula for the sequence 25, 5, 1, ,.

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Q: Find a formula for the nth term of the sequence. - 6, - 4, - 2, 0, 2, . (every other integer…

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Q: The generating function of the sequence 4,4,4,4,4 is

A: # To find generating function of sequence  4,4,4,4,4,4 ??

Q: Which sequence could be described by the first term: Aj = 1 and the recursive (an)² + 1 definition:…

A: Given, an+1=an2+1 a1=1

Q: Find an explicit formula for the sequence of the form a1, a2, a3, . . . with the initial terms…

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Q: nth term for n = − 5+(n-1)14, where n is a positive integer. What is the value of the tenth term in…

A: we put n=10 in given sequence and find 10th term .see 2nd step.

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: b) (x-y),X, (x+y)

A: The given sequence is (x-y),x,(x+y)......................

Q: Which of the following are geometric sequences? Select all correct answers. Select all that apply: O…

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Q: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

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 b1, b2, ba,.. is a sequence defined as follows. Show that 5 b, for all integers n > 0. bị =…

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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: 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: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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Q: Which sequence could be described by the recursive definition: An+1 = 3 · a,n – 1? – 1? - {2, 5, 14,…

A: Given an+1=3·an-1 we have to find a sequence which could be describes as recursive

Q: A. what is the 3rd term of the sequence defined by an=(-2n)n? B. What is the sum of the sequence…

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Q: A. Predict the next number in the sequence. 1. 3, 5, 9, 15, 23, 33, 45, 5 7 9 11 13 15 3'5'7'9´11´13…

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Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

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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: What is the recursive formula for the sequence? 4, 24, 216, 2592, 38880, .. a1 = 4, an = 3na,-1 ај 3…

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

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Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: Find the nth term to illustrate the given arithmetic sequence. 4,9 14, 19, 24,29... 15, 0, -15, -30,…

A: 2) Given sequence is 15, 0, -15, -30, -45, ... Here a=15, d=-15 The nth term formula is,…

Q: Determine the common ratio and then find the recursive rule for the given sequence: -1, 6, -36, 216,…

A: The given problem is to find the common ratio for the given recursive relation of sequence , we can…

Q: Find the values of x and y for which the sequence 2, x, y, 17, . . . is(a) arithmetic (b) geometric

A: 2, x, y, 17, . . .  We need to find the values of x and y for which the given sequence is (a)…

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: Which recursive rule describes the sequence 3, 7, 11, 15, ... ?

A: First we have to find out 1st term and common difference.

Q: 2. Find the nth term of the sequences below: a. 3, -5, 7, - 9, 11, ...

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Which sequence could described by the explicit definition: t, = 2· n - 3? {5, 7, 11, 19, 35, ...} O…

A: Given, tn=2·n-3we have to tell which sequence could described by the explicit definition:

Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

Q: 2. Find the recursive formula for the following sequence: 2, 5, 10, 17, 26, ... an

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Q: on 6 mula for the general term a,n of the sequence assuming the pattern of the first f {7, 12, 17,…

A: We have to find the nth term according to the given sequence

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.