Given the sequence , which of the following expressions identifies the general term, 1,, correctly? 3 9' 27 Select one: O A. 3" O B. () OC. ()" O D. 3-1

Q: in the sequence 1,4,8,10,15,26,95,17,80 which of the following would be the correct way to refer to…

A: As we can see  26 is 6th term in the given sequence

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: The third term in the sequence with a=4 and a = a + 3n wheren>1 is %3D O 22 0 4 O 13 O 10 O 19

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Q: Consider the following sequence of towers of unit cubes. How many unit cubes are there in the nth…

A: First we will count the number of cubes in all the four diagrams. In Diagram 1: 1 cube In Diagram…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 5 9 13 17 21…

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Q: In each part, find a formula for the general term of the the sequence, starting with n= 1. 1 1 1 1 1…

A: Since you have posted multipart questions i can do first three question as per our company…

Q: 1. Find these terms of the sequence (a,), where a, = 2 (-3y"+5". %3D b) a c) as d) as a) do

A: .

Q: The general term for the sequence ,. is: 369 12 15 4'5'6'7 is: s... 3n n+1 3n 3+2 n+3 n+1

A:

Q: 1.) Given the following images, determine the next picture in the sequence.

A: Given : We can see after the 4th arrow, pattern in the data repeats such that 1 image corresponds…

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

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Q: Show that the given sequence is geometric, and find the common ratio.

A: The given sequence is, 17,37,97,…,173n-1,… Here, sn=173n-1 The objective is to show that the given…

Q: calculate the first four terms of the sequence, startingwith n = 1. bn = 5 + cos πn

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Q: (a) What is the nth-term formula for the number of tiles in the nth figure of the sequence? (b) How…

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Q: Find the sum of the first 9 terms of the following sequence. Round to the nearest hundredth if…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 5/1 , 7/2 ,…

A: The detailed solution is given below Thank you

Q: Based on the input/output chart below, answer the following questions in the space provided below.…

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Q: The third term in the sequence with a1 = 2 and an = an-1+4n where n > 1 is, O 22 O 10 O 14 O 26 O 2

A:

Q: The first four terms of the sequence defined by an = nan 1+En'a, 2, ag = 2, a, = 6 are O ao = 2, a1…

A: Note:- For given problem Either options are wrong because according to problem a2=6 but in option…

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 8,

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Q: O O A 2. What is the approximate ratio between the Fibonacci number 610 and the number 377, which…

A: Use Fibonacci series

Q: 4. Find Sn for the following geometric sequences described. a. aj = 16, r =, and n = 7 b. ai = 4, an…

A: For a GP series a, ar, ar2, ............. where a = first term             r = common ratio…

Q: The general term of the sequence 1, 24'8 ... , starting by n=1 is to0 1 (i) n=1 +00 1 (ii) n=1…

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Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

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Q: Find a formula for the general term ɑn of the sequence assuming the pattern of the first few te con…

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Q: Determine whether the sequence with the given n^{th} term is monotonic. a_n = {cos n} / n

A: Result:   A given sequence {an} is said to be  monotonic sequence if the given sequence satisfies…

Q: Given the geometric sequence: 2, 6, 18, 54, 112, . What is the common ratio and what is the 13th…

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Q: Find the expression of the general term of the sequence given by 3 5 7 9 11 1, 2'6' 24' 120 ' 720 2n…

A: The given sequence,      1,32,56,724,9120,11720

Q: The third term in the sequence with a, = 4 and an= an 1+3n where n > 1 is O 4 O 10 O 22 O19 O 13

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Q: Given the following sequence, provide the (unsimplified) sum of the first 14 terms: -6, 12,-24, 48,…

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Q: Use the given nth term formula to compute the first tên terms of the sequence. n(2n+1) 6. аn 3 2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: You were given the sequence 14, 238, 4046, … a) Prove that the sequence is a geometric sequence and…

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Q: Find the explicit formula of the following sequence. {8, 4, 2, 1, ...} f(n) = a, · 3n-1 a

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Q: The third term in the sequence with a1 = 6 and an = an-1+2n where n >1 is O 16 10 O18 12

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Q: Let an be the nh element of the sequence 5,8,11.14,17,., then an.dxn+c for constant values d and c.…

A: What is d??

Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 37 11 15 19…

A: The numerators are 3, 7, 11, 15, 19,... This is an arithmetic progression with a common difference…

Q: 1. Given that the n term, T T, = 2n + 5, find %3D (i) the 5th term, (ii) the 8th term, (iii) the…

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Q: Compute the first five terms of the sequence define by the formula T, = 2n2 – 5n + 1 For what value…

A: Given Tn  =  2n2 - 5n +1 T1 = 2×12 - 5×1 + 1 = -2 T2 = 2×22 - 5×2 + 1 = -1 T3= 2×32 - 5×3 + 1 = 4…

Q: Refer to the image to identify the following: -What is the nth-term formula for the number of tiles…

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Q: dentify the sequence as geometric ór arithmetič. (r, = 11000 Im = 0.7rn-1

A: We can check the series as below by definition of geometric series

Q: The general term of sequence I,Ź stanting by n =D0 is

A: By taking limit from n=0 to 3

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: Assume that the pattern shown by the square tiles in the following figure continues. a. What is the…

A: The appropriate term of the figure is to be identified by obtaining an appropriate order of sequence…

Q: n2 (a) an %3D 27 +1 (-1)" 3n +1 (b) bn (-1)"(2n) 3n+1 (c) Cn =

A: According to our guidelines we are supposed to answer only 3 sub parts, here I'm solving the first…

Q: Determine the explicit formula for the following sequences. 2. Sequence: 6, -6, 6, –6, 6, ... a, = 6…

A: Solution is given below:

Q: Find the formula (nth term) of the sequence 4, 10, 28, 82, 244, .... O an = 3n + 1 an = 6n + 1 O an…

A: Given, The sequence  4, 10, 28, 82, 244, .... We have to find the nth term of the sequence

Q: For the given sequence below, give an expression for the the nth term. 6 12 24 48 {a 1, az, Q3, Qq,…

A: The first term=a1=-3The common ratio=r=second termfirst term=67-3=-27

Q: 16. For what value of n is the following sequence A". If c = 2, find Co. %3D Cn = 2,4,10,23,46,82,…

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Q: Find a1 and r for a geometric sequence {a, from the given information. 41 az = 123 and a,= 9 a1 r=

A: The given terms of the geometric sequence,a3=123 and a6=-419