2. Given the sequence: 1, 4, 9, 16, 25, .. what could be the 10th term?* c. 10000 d. 100000 a. 100 b. 1000

Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: What is the common ratio of the following geometric sequence? 27, 9, 3, 1, .. O 27 6. O 3 O 1/3

A: Remark: The general form of a geometric sequence is a, ar, ar2, ar3, ... where a is the first term…

Q: Consider the sequence c= {3, –12, 48, – 192, 768, ..} - | a. What is the common ratio? b. What are…

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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: 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: How many terms are there in each of the following sequences? a. 53, 54, 55, 56, ..., 253 b. 1, 2,…

A: Note: There are many subparts in the questions. So I will answer the first three subparts from the…

Q: (a) The nth term of a sequence is Un. The sequen

A: Introduction: 1: the sequence in which things are or should be linked, related, or dated Follow the…

Q: List the first five terms of the sequence: a sub n+1 = a sub n / n a sub 1 = 6

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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: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

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Q: 1. The number of cubes in each pattern below forms a geometric sequence. How many cubes would be in…

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Q: 3. Which of the following is a geometric sequence O 30, 15, 0, -15,.. O 3, 9, 27, 81,..

A: Option b is only in gp

Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

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Q: What is the recursive formula for the geometric sequence 2, 6, 18,54, O A an 3, if n = 1 3- a, if n…

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Q: a1 = -1, and for n = 2, 3, 4, .. What is the common ratio, r, for this sequence? O -- O r--1

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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: S) Predict the nth term of the sequence, given the first five terms. a1 = 2, az = 5, az = 10, a4 =…

A: Given: first 5 terms area1=2; a2=5; a3=10; a4=17; a5=26

Q: Find the first four terms of the sequence given by the following. a, = 67 + 3 (n -1), n = 1, 2, 3

A: In this question , we can find first four term of the sequence. Put n=1, 2, 3, 4 in the given…

Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…

A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…

Q: 1. How many terms are there in an arithmetic sequence where a̟ = 12,an = 60 and d = 8? %3D

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

Q: 1. Use the common ratio to calculate the next 3 terms for the sequence: 2, 4, 8, 16, .. а. 32, 64,…

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Q: 14. Which explicit formula describes the geometric sequence {, ,7 8T}? 1 1 O an = (3)"-1 O + (n –…

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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: 12. What is the next term in the Fibonacci sequence 1, 1, 2, 3, 5, 8 ...? а. 11 b. 12 С. 13 d. 14

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Q: - The terms of the sequence are 3 3 3 then S4 %3D 4'16'64' 256

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Q: Find the first four terms of the sequence given by the following  a n=57-8(n-1), n=1,2,3

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Q: are 9. The first three terms of the sequence given by , - C. 2 4 8 3'3'3 d. 2 4 6 3 3'3 248 23.9 a.…

A: Given sequence tn=23(2)n-1. To get the first three terms we put n=1,2,3 in the given expression.

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

A: The given arithmetic sequence is,7,1,-5,....,-161

Q: In geometric sequence a1, a2, , an , if a2 = 140 and a4 is 3500, then the common ratio 4 O 5 O 25…

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Q: What is the sum of the first 10 powers of 2? Assume the first term of the sequence is a1=2 A.s20=…

A: Given: A sequence of 10 terms with powers of 2, starts with first term a1=2. The objective is to…

Q: What is a formula for the nth term of the given sequence? 4, 16, 64... An = 4(4)1-n Am = 1(;)n…

A: We are given a sequence : 4,16,64,... We need to find the formula for nth term of the sequence.…

Q: How many terms are there in each of the following​ sequences?   a. 36 ​,37 ​,38​, 39 ,​..., 336  b.​…

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Q: 5. The third term of an arithmetic sequence is 28, while the fourth term is 41. Write the sum of the…

A: Given:  Third term of arithmetic sequence =28                fourth term     =41  To find : Sum of…

Q: How many terms are there in each of the following​ sequences?   a. 36​ ,37​, 38​, 39​,​..., 136 b.​…

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Q: Consider the following arithmetic sequence. 4,  13 2, 9,    (a) Identify d and a1. d  =    a1  =…

A: Given   Consider the following arithmetic sequence. 4, 132, 9,    (a) Identify d and a1. d  =…

Q: 1. Consider the sequence d = {5,-2, , 5 5 4 » 8 > 16 > •. -- a. What is the common ratio? b. What…

A: Given problem:-

Q: How many terms are in the arithmetic sequence 5, 1, -3,...,-99? Hint: an = a1 + d(n – 1) where aị is…

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Q: 5. Write down the first five terms of the sequence given by (-1)"+1 an = Determine the following.

A: Since we are given with the multiple number of question and answered according to the guideline.

Q: Given the geometric sequence 13 113 15 15 3,125 625 125 96 48 24 **** what is as?

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Q: The attached diagram represents the first three terms of a sequence:   Assuming the pattern…

A: Given,

Q: 17. What is the first 5 terms of the sequence? Assume that n begins with 1. 1. an = 10 (-)" [A] 10,…

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Q: 8. Find the missing term of the arithmetic sequence 22, 34, ... O46 O16 O28 O40

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Q: Write the first five terms of the sequence given by an = 2 ^n/n!, Begin with n=0

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 11. Write the formula for the nth term of the following sequence: 3,-9, 27,-81, 243, -..

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Q: 42. Find the second, fourth, and eleventh terms of the sequence described by: A(n) = 9 + (n - 1) (3)

A: The given sequence is, An=9+n-13 The second term is n=2 A2=9+2-13=9+3=12

Q: 4. Which of the following illustrates arithmetic sequence? * O 1,1, 2, 3, 5, 8 O 2, 4, 8, 16, 32 O…

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Q: B. Find the nth term of the sequence, then find the 2oth term. 5. 5. -6, -4,-2,..

A: Solution..

Q: Given that the sum of the first n terms of a sequence is S, where S, = n(n + 2), the fourth term of…

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Q: Find the n th term a of a sequence whose first four terms are given. 5 6. 7 8 - ... 11 22 33 44'

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Q: 9. If the first three terms of a arithmetic sequence are 1 + k, 2k + 1, and 7, what is the sum of…

A: Given that: First three terms of an arithmetic sequence are:   1+k, 2k+1, and 7