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

Q: The sum of the first n terms of a sequence is given by S, = 3" +1 - 6 3.1. Determine the sum of the…

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Q: Is the sequence {cos (-)- In(n)}, monotone? If so is it increasing creasing? or de-

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Q: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

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Q: 1. Arrange the integers 1,2,3, . . . ,17 so that the sum of consecutive numbers is equal to a…

A: To find:  Arrangement of the integers 1,2,3, . . . ,17 so that the sum of consecutive numbers is…

Q: Find next three term Of the Fallaung Ficonecci sequence 5 1 12 43 3.1

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Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn 2n +…

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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: Fibonacci sequence

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Q: List the first five terms of the sequence. a1 = 6, an+1 5an 5a,-

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Q: Write down the first five terms of the following recursively defined sequence. aj = -5; an+1 =-2a,+5…

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Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: Show that the sequence 9,12,15,18, ... is an AP. Find its 16th term and the general term.

A: We need to show that the sequence 9, 12, 15, 18, ... is an AP. Here, 12 - 9 = 15 - 12 = 3. And the…

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: 13. What is the twelfth term in the sequence an = 3n - 22? 09 0-7 O 14 O26

A: Find the twelfth term

Q: Suppose that the sequence {ax}1 is 2, 4, 6, 8, 10, 12, 14, 16, ... What is a4?

A: Answer

Q: Expand (a + b)7 using the sequence in Pascal Triangle *

A: The pascals triangle is                  1                                         1           2…

Q: As which term does appear in the sequence 81, 27, 9...? 27 a. 5th b. 11th 8th с. d. 15th е. 12th

A: This question we are given we are given with a series and we have to find that a term which will…

Q: A sequence ao, a1, a2, .. .satisfies an = n an-1+(-1)" for n > 1. If a5 = 44, then az %3D

A: Since, a sequence a0,a1,a2,..... satisfies an=n.an-1+(-1)n-(i) for n≥1.Ifa5=44. Our Aim is to find…

Q: 27.The first and 25th term of the sequence an = (-1)"-1(n – 1) are both positive. Ο Α. True О в.…

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Q: 1. What is the 21st term of the arithmetic sequence 19,14, 9, 4...? 2. Find three terms between 6…

A: according to our answering guidelines we can only answer 3 subparts at a time, rest you can repost…

Q: 4. Write down the first six terms of the Fibonacci =1 and F2 = 1. sequence defined by Fn Fn-1 +…

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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: 3. Find two possible next terms of a sequence 2, 8, 9,17 that is neither geometric nor www…

A: Given the sequence 2,8,9and 17. We need to find the 2 possible next terms of a sequence.

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: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

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

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Q: 1 and the recursive Which sequence could be described by the first term: aj 2 definition: An+1 =…

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Q: Find the 19th term of the geometric sequence with az = 27/4 and as = 729/32 %3D a19 =

A: Topic: Sequence and series

Q: Let Sn, be the sum of the first n terms of the geometric sequence 2, 6, 18, 54,.. 1. Express Sn in…

A: Given geometric sequence 2,6,18,54,...

Q: Consider the sequence:10, 13, 16, 19, ... with a = 10. 100 is a term in the sequence. True False

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Q: Write down the first five terms of the sequence ɑn = 9n n+15 a2 = az = a4 = as =

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Q: Find the sum of the first 15 terms of the geometricsequence with first term 3 and common ratio 2.

A: To find the sum of the first 15 terms of the geometricsequence with first term 3 and common ratio 2.…

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

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Q: Show that the sequence too n! 217 is eventually strictly increasing or eventually strictly…

A: The given sequence is n!21nn=1∞ Eventually strictly increasing sequence : A sequence is said to be…

Q: 17. Find the number of terms of the finite arithmetic sequence: 8, 14, 20, 26, ..., 320. (Make sure…

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Q: Provide the first 4 terms of the sequence {an} = n", where n ≥ 1 {an} 1 4 = 27 Question 2 What is…

A: The solutions to the given questions are given below

Q: Find the first 4 terms and the eighth term of the recursively defined sequence. C1 = 3, c2 = - 1,…

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Q: Suppose that the sequence {az}ı is k=1 1,3, 5, 7,9, 11, 13,.. What is a1?

A: First we find the general of the given sequence {ak}∞k=1=1,3,5,7,9,11,13,..., with the help of…

Q: Find the first six terms of the recursively defined sequence 1/2 2s n-1 Sn for n > 1, and si = first…

A: Given : A sequence  sn = 2sn-11/22 for n>1 and s1 = 1 To find : First six terms of the given…

Q: Write down the first five terms of the following recursively defined sequence. aj = 2; an+1 = -2a +…

A: To write down the terms of recurssive relation,   1) Put value of a1 in recurssive relation we get…

Q: First four terms of the sequence n²+3n 1+9 n are: None of them 2 10 9 28 5 19 14 37 2 10 41 28 5 19…

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

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

Q: 39= az +72. 13 23 39 Write the first four terms of the geometric sequence. 008 por 4) aj = - and r =…

A: Given,

Q: What is the formula for the sequence 0, 1/pi1/2, 4/pi1/3, 9/pi1/4 starting with the term n=1?

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Q: 35. Prove that the sequence {n!}^, beats the sequence {2"}-1-

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Q: A Diginacci sequence is created as follows: The first two terms are any positive whole numbers Each…

A: Given are the instructions to form a Diginacci sequence: The first two terms are any positive whole…

Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

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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: . Give the next three terms of the sequence.  2/3,3/8,4/15,5/25,6/35

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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: 1. What is the ninth term of a harmonic sequence if the first three terms are 111 2'6'10 2. Find the…

A: This is the problem of counting and series and finite math.