A sequence of numbers follow the rule: multiply the previous number by -2 and add 3. Fourth term in the sequence is -7. a. Give the next 3 terms in the sequence. b. Give the 3 terms that came before -7 in the sequence.

Q: Use inductive reasoning to guess the next two numbers in the sequence:1, 2, 6, 15, 31, 56, . . .

A: Given sequence, 1, 2, 6, 15, 31, 56, ...

Q: What is the 23rd term in the sequence: 2, 9, 16, 23, ...? A 198 B -152 156 110

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

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 7, -28, 112,

A:

Q: How many terms are in the arithmetic sequence 7, 1, –5, ...,-161? Hint: An = a1 + d(n – 1) where a1…

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Q: ee hu to Compiete the sequence: the next 218,14,20...

A:

Q: Write down the first 4 terms of the sequence  {1/(7^n)}^infinity, n=0

A: An= 1/7^n  n = 1  A1 = 1/7 n = 2 A2 = 1/49 n = 3 A3 = 1/343 n = 3 A4 = 1/2401

Q: (b) Define Sequence? Find the first five terms of the following. (-1)"-1.2"*+1

A:

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

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

Q: Write an explicit formula for the sequence 7, 2, -3, –8, –13, .. Then find a 14 а. = -5n + 12; –53…

A: Given sequence is This is an arithmetic sequence with first term a=7 and common difference d=2-7=-5…

Q: List the first five terms of the sequence: An a1 = 4, аn+1 An + 1 aj = , a2 = Az = a4 and a5 =

A:

Q: Fill in the blanks with the next three numbers in the sequence.  2, 7, 3, 8, 4, 9, 5, 10, 6

A: According to the provided information, the number is  2, 7, 3, 8, 4, 9, 5, 10, 6

Q: A sequence can be generated by using an = a (n – 1) + 29, where a1 = 46 and n is a whole number…

A: Since, we have been given up the sequence an=a(n-1)+29 where nis a whole number greater than 1.…

Q: 1. Find the next two numbers in each sequence. A) -1, 1 , 3, 7. 15. B) 3, 1, 2, -1,3.-4, C) 16, 24,…

A: We have to find

Q: Find the pattern and give the next three terms in the sequence: 2, 6, 11, 17, 24... Hint: How do you…

A: The given sequence is 2, 6, 11, 17, 24... Observe the patterns as follows. 2    -    2 6    -    2+4…

Q: Use differences to find a pattern in the sequence.9,15,16,13,7,-1,-10

A: A sequence can have arithmetic progression, geometric progression or harmonic progression.In case of…

Q: ^A sequence can be generated by using a, = a,-n+ 29, where aj = 46 and n is a whole number greater…

A:

Q: a(Cick to select) For the sequence an= (n+1 the values of the first four terms of the sequence are…

A: an = (n+1)(n+1) a0 = 1a1 = 22

Q: Describe the pattern, write the next term, and write a rule for the n th term of the sequence.…

A: Clearly next term is 5 more than the previous term.  So The pattern is A.P. and the next term = 16 +…

Q: Given the sequence: 13, 104, 832, 6656, … Write a rule for the nth term of the sequence.

A: We can find the general term as below.

Q: hat is the next number in the sequence 1 , 2, 4, 7, 1 1, . . . ? a. 17 b. 13 c. 16 d.15

A: Given sequence, 1,2,4,7,11

Q: Write the first six terms of the sequence. 1, an = an 1 +3

A: Consider the recursive rule for the sequence. Put n = 2 in the recursive rule and simplify to find…

Q: 1. Determine the common difference for the sequence: 7, 2, -3, -8, -13, ... a. -5 b. 5 C. -7 d. 9

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Q: 10. Which figure comes next in the sequence? в с D A

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Q: List the first five terms of the sequence: n + 2 an Зп — 1 ai = a2 a3 a4 and a5 =

A: We need to find first five terms of sequence.

Q: List the first five terms of the sequence: an а1 — 6, An+1 an +1 a2 az = , a4 = and a5

A: Given a1=6 an+1=anan+1a2=a1+1(n=1)=a1a1+1=66+1=67a3=a2+1(n=2)=a2a2+1=6/76/7+1=613

Q: Let a, b ∈ N. How many multiples of b are there in the sequence a, 2a, 3a, . . . , ba?   please…

A: Theorem: Let a,b∈N and least common multiple of a, b is denoted by lcma,b, greatest common divisor…

Q: List the first five terms of the sequence: 3(-1)" an n! and a5 ai a2 аз a4

A: Given sequence an= 3(-1)n/n! Now we have to find first five terms of sequence by putting n=1,2,3,4,5…

Q: n-1 a, = 5()"- is the formula that represents the sequence: 5, ž, 4 8 5 5 5 %3D O True O False

A:

Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: Use inductive reasoning to predict the next three terms in the sequence :13, 31, 15, 51, 17, 71, 19,…

A: Given the sequence : 13, 31, 15, 51, 17, 71, 19, 91 Find the next three terms of the given sequence.

Q: Write the first five terms of the sequence. n°+1 an %3D n+1

A: Given, an = (n3+1)/(n+1)--------(1) Now, replacing n with 1 in equ(1), a1 = (13+1)/(1+1) => a1 =…

Q: Given the sequence 6, -12,24, -48, ..., determine a) t15 6. b) S15

A:

Q: . Consider the sequence b = 9 {9, ž, †»§ 16 » * * * i} a. What is the common ratio? b. What are the…

A: 9, 9/2, 9/4, 9/8, 9/16, . . . . . . = {an}n>=0 = 9, 9/2, 9/22, 9/23, 9/24, . . . . . .  (a)…

Q: Write the first three terms of the sequence. 3n - 4 an = n° +5 2 The first three terms are a, =|, a2…

A: Given :          an=3n-4n2+5

Q: 2. How many terms are in the sequence? -20, -15, -10, ... 1115

A:

Q: List the first five terms of the sequence. 3(-3)" n! an a1 = 9. %3D a2 = 27/2 az = -27/2 a4 = 81/8…

A:

Q: 2. How many terms are there in the sequence -1, -5/6, -2/3, A 25 10/3? B. 26

A:

Q: Write the first five terms of the sequence. (Assume n begins with 0.) an =  4 (n + 1)

A: Given the sequence an = 4/(n + 1)! We need to find first five terms where n begins with 0 Therefore…

Q: Write the first five terms of the sequence whose nth term is an = (−1)n/(n4). a1 = a2 =…

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Q: Write the explicit formula for the sequence, Then find the fifth term in the sequence. O an =…

A: .

Q: Find the 27th term in the sequence 3, 7, 11, 15.. 107 81 a. b. c. d. е. с. 89 152 201

A: The arithmetic progression is the series which have a common difference between the consecutive…

Q: Consider the sequence 1, -2, 4, -8, 16, . . . . Find a2/a1, a3/a2, a4/a3, and a5/a4. What do you…

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Q: 10. How many terms are in the sequence 3, 6, 12, 24, 48, ..., 1536? а. 7 b. 8 с. 9 d. 10

A: How many terms are there  in the sequence 3,6,12,24,48,.....,1536

Q: List the first five terms of the sequence. 3(-3)" an n! a2 = a3 = аз a4 a5 =

A: We have to find the first five terms of the sequence

Q: Given a1 = 5 and a6 = 40 (the first and sixth numbers in an arithmetic sequence), find a20.

A:

Q: Find the first four terms of the sequence ?? = 5? − 1.

A:

Q: How many terms are there in the sequence 1, 1/2, 1/4, 1/8, ... , 1/2048? * please explain a. 11 b.…

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Q: Write the first five terms of the sequence. Assume that n begins with 1. An = n(n - 1)(n - 2)…

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Q: n 3. an ==+i 3.

A:

Q: 2. Given the sequence: 1, 4, 9, 16, 25, .. what could be the 10th term?* c. 10000 d. 100000 a. 100…

A: This is a sequence problem so I used simple calculation to determine the 10th term of the given…

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.