Consider the sequence f(n) = 2 + 5n, where n is an integer > 1. (i) Evaluate the first six terms and sketch the graph of the seque (ii) Find the recursive prescription of the sequence.

Q: 4. for the recursivley defined sequence: Σα Find Ea; an=3an-1-2n for n22

A: The expression ∑i=14ai can be expanded as follows. ∑i=14ai=a1+a2+a3+a4   It is provided that a1=4 .…

Q: What is the recursive formula for finding the nth term of the given geometric sequence?

A: Given query is to find the formula for nth term.

Q: For the sequence an = n +1' its first term is its second term is its third term is its fourth term…

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Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

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Q: Use the explicit formula to find the 50th term of the sequence An -n² - 3n

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Q: Given the recursive rule for an arithmetic sequence, write the explicit rule. 5. f(1) = 19 and f(n)…

A: Question number 5,Given,          f1=19 and fn=fn-1-10 for n≥2

Q: Find a formula for a, for the arithmetic sequence. 5 aq = 0, d = - %3D

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Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: (-1)n+1-(0.1)n

Q: a, = 1 + (-})" Calculate, to four decimal places, the first ten terms of the sequence and use them…

A: Consider the sequence: an=1+-12n. Find the first ten terms of the sequence. Substitute n=1, 2,  3…

Q: Find the first four terms of the sequence defined recursively. an-1 ). a¡= -1, an= 3an-1 11. a¡ = 5,…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Use iteration to guess an explicit formula for the sequence defined by an = an-1 + n for all…

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Q: Find the first four terms of the sequence recursively defined by a1 =3 and an = n + 2an-1.

A: Given, first term of sequence is And terms of sequence recursively define by

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −6 such…

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

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

A: We have to find general term for given sequence.

Q: Find the first four terms of the recursive sequence defined below.

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Q: Describe the long-term behaviour of the sequence (xn) given by  xn = 81 x (0.9)n - 15      (n=…

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Q: Find an explicit formula an for the nth term of the geometric sequence whose first term is a, = 4…

A: Use general formula of geometric series

Q: For the sequence an = 4 – 4· (n – 1), - | its first term is its second term is its third term is its…

A: The given sequence is an=4-4n-1To find:a1, a2, a3, a4, a5, d

Q: Find the 10th term of the geometric sequence. a11 = -5, r = - 10th term:

A: →nth term in any geometric sequence is given by,                    an = a rn-1 , where 'a' is the…

Q: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: Find the 7th term of the geometric sequence where a1 = -2 and r = -2.

A: To Find the 7thterm of the geometric sequence where a1 = -2 and r = -2.

Q: Suppose that the 8th term of an arithmetic sequence is -1 and the 20th term is 2. Write the general…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Find a formula for the nth term of the recursively defined sequence where a, =1, an+1 an for n21. 4"

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Q: Find the formula an for the n th conditions: a₁ = term of the geometric sequence satisfying the…

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Q: Q1. Write out the first four terms of the sequence and determine whether the sequence is converging.…

A: we have to write first four term of the sequence

Q: 5. Find the 6th term of the recursive sequence defined by a₁ = 0, an+1=2a₁ +3.

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

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Q: An arithmetic sequence is a sequence in which the___between successive terms is constant.

A: An arithmetic sequence is a sequence in which  the difference between successive terms is…

Q: Use the given nth- term formula to compute the first five terms of the sequence. an=n/n+1

A: Given an  = n/(n+1) So the first five terms of sequence are a1 = 1/(1+1) = 1/2 a2 = 2/(2+1) = 2/3

Q: Find the nth partial sum of the arithmetic sequence. an 2n - x; n = 18 S18 =

A: an = 2n-x; n =18  To Find the nth partial sum of the arithmetic sequence

Q: Find the first six terms of the recursively defined sequence Sn = 38n-1 +1 for n > 1, and s1 = 1.…

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Q: Find the first five terms of the recursive sequence defined below.

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Q: Use the first five terms of sequence H to define the sequence recursively using function notation.…

A: Topic - sequence and functions

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: Let the arithmetic sequence be defined by the formula a = 5 + (n-1) * 7 Apply the concepts of adding…

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

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

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Q: Find a closed formula for the sequence with recursive definition An = 2an-1 – an-2 with a1 = 1 and…

A: The closed formula for a sequence is used to define the general term of a sequence. The recursive…

Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

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Q: Compute the first 3 terms of the sequence, use the nth term an= n2 - 3n

A: an=n2-3n To find the first term, put n=1 in an=n2-3n, we get a1=12-31=1-3=-2 To find the second…

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 the first three terms of the sequence defined by the recursive formula: t1 = 2 tn = 3tn-1 + 1,…

A: t1=2tn=3tn-1+1,n>1             →(1)

Q: Find the first five terms of the sequence defined recursively below:   t1 = 2 tn = - 2t n-1 -2

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Q: Find the first four terms of the sequence with a recursive formula.

A: We have a recursive formula here. In a recursive formula, every subsequent term is derived from the…

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −3 such that…

A: Our Aim is to find a formula an for the nth term of the arithmetic sequencewhose first term is a1=-3…

Q: i i=0

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Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6