7. How many terms are there in the sequence 1,4,7,10,...,682?

Q: How many five-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?

A:

Q: How many three-letter sequences are possible that use the letters c, o, j, w, x at most once each?…

A: Total given letters  c , o , j , w , x Which is 5 letters

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: 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: 8. Use a difference table to predict the next term in the sequence. 1, 14, 51, 124, 245, 426, ...

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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: 10. Determine the sum of the sequence 500, 497,494, ... 188,

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Q: Consider the sequence: 2, 4, 8, 16, 32 ... Determine the 20th term of the sequence. O A 2,304,127 O…

A: A geometric sequence is one in which any term divided by the previous term is a constant. This…

Q: Find the first five terms of the sequence. ao = 3 a, = 4 an=- 4an – 1- 2an - 2 O 3, 4, 17, -46, 192…

A:

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: What are the first 5 terms in the sequence an = 2n + 8 O 2, 10, 18, 26, 34 O 10, 12, 14, 16, 18 О 8,…

A: Given an=2n+8.

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

A:

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: Determine the pattern and find the missing terms in each of the following sequences. 1. 2, 5, 10,…

A: A) 1.   This sequence  has terms  which are incremented by odd numbers starting  from…

Q: 7. In the arithmetic sequence 1, 5, 9, 13, .., which term is 405? * О 102 O 101 О 100 О 9

A: GIVEN: Arithmetic sequence 1, 5, 9, 13, ........

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: 52. Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26,...}

A: Solution:Given      the sum of the first 60 terms of the sequence{2,10, 18, 26,...}FormulaSn=n2…

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: How many different sequences of 5 ternary digits (0, 1, 2) are possible? The number of different…

A: There are total 3 choices for each digit. We will have to pick 5 digits. Each digit can be picked in…

Q: 7. Use a difference table to predict the next term in the sequence. 2, 7, 24, 59, 118, 207, ...

A: We can solve the given problem using the concept of sequence of difference table.     According to…

Q: (2n + 1) ifn is divisible by 4 18. a 21 if n is not divisible by 4

A:

Q: What are the next three terms of the sequence 256, 64, 16, 4, 1? O 1/4, 1/16,1/64 O -4, -16, -64 O…

A:

Q: 1. What are the next three terms of the sequence shown below? 3, -6, 12, -24, ...

A: the given sequence is 3, -6, 12, -24,...............

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

A:

Q: 17. Determine the next 3 terms in the sequence: 22, 31, 40, 49, 58, ... O 67, 76,85 O64, 70, 76 60,…

A: given sequence is :22,31,40,49,58,... their same distance in all number  d=31-22=40-31=9 d=9

Q: 5. What is the 100th term of the arithmetic sequence 8, 12, 16, 20...? * 108 O 396 O 404 O 408

A:

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

A:

Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…

A: 2. The required sequence can be solved as below

Q: What is the 10th term in this sequence: 1, 3, 9, 27,...

A: Given,          The sequence is 1 , 3 , 9 , 27 ,.....We know that,          The general term of G.P…

Q: How many four-letter sequences are possible that use the letters c, r, h, e once each?

A: According to the given information in this question We need to find that how many four letters…

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. 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…

A:

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…

A:

Q: Consider a sequence of a numbers. 5, 6, 15, 50, 207,1040, 6275, 43938  What is the pattern and…

A: The objective is to state the pattern and the number that is not a part of the sequence 5, 6, 15,…

Q: How many 7-letter sequences can be made using the letters in the word U R U G U A Y exactly once…

A: We have to find number of permutations possible.

Q: Find the value of the number in the 75th term in this sequences : 4, 7, 12, 19, 28, ._? * ...

A: The sequence given is- 4,7,12,19,28,........ We need to find 75th term in this sequence , that is…

Q: 11. Determine the number of terms in the following sequence. 2, 6, 18, ... 1458 ......

A: Our Aim is to calculate the number of terms in the sequence given below:-2,6,18,.....,1458 -(i)

Q: 7. What is the 12th term of the sequence 10, 6, 2, ...? O-16 O-24

A:

Q: (k) Generate a sequence if the first 10 terms are 1, 3, 4, 7, 11, 18, 29, 47, 76, 123?

A:

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,…

A:

Q: 1. If the numbers a, m,m2, C, m, b form an arithmetic sequence, we say that the numbers m,m2, C, m…

A: If there are k arithmetic mean between a = 1 and b = 30 and d is the common difference of the…

Q: I. Determine whether or not each of the following is an arithmetic sequence. 1. 3, 5, 7, .. 531 2.…

A: To find out that the given sequences are arithmetic sequences or not.

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: 5. Construct a difference table to predict the next term of a sequence 1, 7, 17, 31, 49, 71,...

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

A:

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: Use a difference table to predict the next term and formula in the sequence  1, 2, 6, 7, 21, 22,…

A: It is an important part of statistics as well as mathematics.  It forms a firm background for…