3.) Find k given that 2k, k – 1,3k + 1 are consecutive terms of an arithmetic sequence.

Q: Suppose that a sequence is defined as follows. a1=-2, a,=-3a,-+7 for n>2 | List the first four terms…

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Q: 10. Find a, for the sequence with generating function 2. (1-2) 1-1-2" - Hint You should "multiply"…

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Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: Find the general term of the arithmetic sequence$$ 6, 2,-2,-6,... .$$ O $$an= -4n+10$$ $San=2n2-3$$…

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Q: Determine if the sequence is increasing, and/or bounded. 3 — п (b) { (a) 1 — Зп - 3n n=1

A: Given

Q: Which explicit formula describes the geometric sequence {1/3,1/9,1/27, 1/81…}? A. an= 1/3 (3)^n-1…

A: Given sequence is: 13,19,127,181, ...

Q: Find the values of x for which the sequence 6, x, 12, . . . is(a) arithmetic (b) geometric

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Q: Find k so that the terms k - 3, k + 1 and 4k - 2 form a geometric sequence. O 1/3 or 5 O - 1/3 or -…

A: We need to find the value of k such that the sequence is in geometric progression.

Q: 5. Find the first five terms of the recursively defined infinite sequence: а, %3D 2, а, %3D5 & a,…

A: a1=2, a2=5 and ak+1=9ak-4ak-1

Q: (3) Consider the sequencex + 3,x + 7,4x - 2,.......... (a) If the sequence is arithmetic, find x and…

A: As per our policy I can solve only one Question. Kindly please repost the Q4

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

A: We have to find nth term

Q: Find k so that the terms k – 3, k + 1 and 4k 2 form a geometric sequence

A: If three terms are said to be in a geometric sequence then there exist a common ratio between the…

Q: Find ag and a, for the arithmetic sequence. a,=x, a, = x+3

A: a1=x , a2=x+3 Formula an=a1+(n-1)dd is the common difference

Q: 4 8 Find a formula for the general term an for the sequence {-3, 2,-,,-}. EPlease select file(s)…

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Q: (3) Consider the sequence x + 3,x + 7,4x – 2,.... (a) If the sequence is arithmetic, find x and then…

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Q: Suppose that a sequence is defined as follows. a1=-4,   an=3an-1+7 for n>2 List the first four…

A: Given: The given sequence is defined as, To determine: The first four terms of the sequence where

Q: 27 3. What is the formula for the nth term of the sequence: 8,-6, , 8. ...

A: The given sequence is 8, -6, 92, -278

Q: find the values of k so that the numbers 2k+1, 3k+4 and 7k+ 6 form a geometric sequence

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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: Find the formula of the general term an of the sequence: 3 1 2 .. 1, 2 2

A: The solution is given as

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: The formula for a sequence is 2n+3 where n=1,2,3... Show the first four terms of the sequence

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Q: Find the first five terms of the sequence 2" -1 n 1, 2, 3, .. аn n2 1

A: Given: -

Q: 7 Find the explicit formula for the given sequence. 2, 8, 32, 128, . (A 33 · 4"-1 a = = 2 · 4"-1 a ©…

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Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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Q: Find the infinite sum of the geometric sequence with a=4,r=28a=4,r=28 if it exists. S∞=

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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: The number of terms n of the arithmetic sequence : {2, 9, 16, 23, . . , 65} are O 11 O 9 O 8 O 10

A: The given sequence is:  2, 9, 16, 23, ..... , 65

Q: 1 Find the twentieth term of the sequence an = 2 ( 0.1 )"

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

Q: (3) Consider the sequencex + 3,x + 7,4x – 2,........... (a) If the sequence is arithmetic, find x…

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Q: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

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Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a,-1 + 10 for n>2 %3D un List the first…

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Q: Given the sequence -5.0, -2.5, 0, 2.5, 5.0.... Complete the explicit rule: an +(n-1). The 10th term…

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Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

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Q: Using the appropriate formula, find the 17th term of the sequence 7,4,1.........

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

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Q: B. Use inductive reasoning to predict the next three items in each list. Make a conjecture for the…

A: B) 1. The given sequence is 1, 3, 6, 10, 15, . . .This sequence follows the pattern as +2, +3, +4,…

Q: The 8th term of the geometric 1 1 4 sequence 2 3'9' 27

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given the arithmetic sequence of 4, 2, 0, -2, . .fund an explicit rule for the nth term. O an = an 1…

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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 general term of a sequence is given an = -2(n - 1)! and involves a factorial. Write the first…

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Q: (3) Consider the sequence x + 3,x + 7,4x – 2,. . (a) If the sequence is arithmetic, find x and then…

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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: (3) Consider the sequence x + 3, x + 7,4x – 2,.. . (a) If the sequence is arithmetic, find x and…

A: We know that, For arithmetic series, d=a2-a1=a3-a2  For geometric series, r=a2/a1 = a3/a2  So from…

Q: a. Find an explicit formula for the sequence 1,-4,9,-16, ... b. Determine the first four terms given…

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Q: Let bo, b,, b2, - be the sequence defined by the explicit formula b, =C. 6" + D(-5)^ for each…

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Q: Give the first five terms of the sequence: a, = n° -2n %3D

A: Given,           The sequence is an=n3-2n.

Q: (a) What are the 5th terms for each sequence? That is, what are the values of a, and b5? (b) For…

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Q: 9. Find the value of x and y if x-y, 7x+y-1, and -5y are consecutive terms of an arithmetic…

A: As per the instruction, we will be answering only the first question. We need to find all the value…

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.