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

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

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Q: In the standard Fibonacci sequence, what is the 25th term.

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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 the sum of the first 12 terms of the geometricsequence with first term 48 and common ratio1/2.

A: The geometric sequence is the sequence which is of the form a,ar,ar2,ar3,......  , where a is the…

Q: Write the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: Review the followitig sequences, ell whic h geonietric arid arithinetic sE quence s are, itate cor…

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Q: When the common ratio of q geometric series is 10, the sum is sometimes easier to compute because we…

A: 1+10+102+103+104+105 It is a geometric series with, a=1,  r=10  &  n=6

Q: How many terms are required to ensure that the sum is accurate to within 0.0002? 00 n=1

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Q: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

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Q: There are many examples of the Fibonacci sequence in nature. O True O False

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

Q: caNverges. roctice 4. show thast a CHint, stmcler idea utth irts diaraslng sequence cuuerges.

A: We will use the completeness property of R to prove that a monotonic decreasing bounded sequence is…

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: Given the following sequence: 8,12,16,20,24. Find the value of the 9th term. Sn=40 Tn=40 Sn=60 O…

A: The sequence 8,12,16,20,24 ..... is in  Arithmetic progression(AP)where , common…

Q: Find the 70th term of the following arithmeti c sequence. 4, 11, 18, 25

A: First term of the A.P. is 4 Common difference, means the difference between two consecutive terms is…

Q: write the first five terms of the sequence. assume with I. beğins an=6(-1)h %3D Hun

A: The sequence is given by an = 6-1nnn+1                         ........1 To evaluate: The first five…

Q: Give a next step and a justification for a proof sequence that begins1. (A Λ B′) → C hyp2. C′ hyp

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Q: Predict the general term, or nth term, a, for the sequence. 12345 - - .... 6' 7' 8' 9' 10'* an

A: The 'nth' term of a sequence is a formula with 'n' in it which enables the evaluation of any term of…

Q: For the sequence defined by: ai = 2 1 + 5 An аn + 1 — Find: a2 az = a4 = II

A: To find  a2 , a3 , a4  substitute n=1,2,3 respectively  in the given equation.

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: Given that the 35th term of the Fibonacci Sequence is 9,227,465 and the 33rd term is 3,524,578, what…

A: Given that the 35th term of the Fibonacci Sequence is 9,227,465 and the 33rd term is 3,524,578.Our…

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: How many terms of the series 54 , 51 , 48 ..... be taken so that thier sum is 513 ? Explain the…

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Q: if fib (1)=0 what is the 10th number in the fibonacci sequence

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Q: 9. If the information given below represents a geometric sequence, find az. = 3645 and a1 = 15 %3D

A: The information given below represents a geometric sequencea1 = 3645 and a6 = 15Let, the common…

Q: For the given geonietric sequence, find the su n of the first: 1. 5 terms of 4, 12, 36, 108, ...

A: As per guideline we have to solve one question

Q: Find the sum, if it existsof the Infinite geometric series S=21+9+3.86+

A: solution:- its geometric series because the common ration is same between the digits

Q: Find the next two terms in this sequence. 3,6,12,24,[ ? ]LI ] Enter 21 Acellus Corporation. All…

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Q: 2: Assume that the patterns shown by the square tiles in the following figure continues. What is the…

A: Given that:   There are 5 pattern shown in the given figure, and find the total number of tiles in…

Q: Compute the missing terms in the arithmetic sequence. 72, **** 1)..., 24,

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Q: Given that the first term of an arithmetic sequence is 50 and the common difference is -5, what is…

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Q: In geometric sequence a1, a2, - --, an , if a4 = 1472 and a6 23552, then the common ratio is O 4 O 5…

A:

Q: let be a sequence sit. 2 for oxaza2 12 then 6'mam=? 348

A: Let an be a sequence  such that for 0<a1<a2 an+1=an+an-12,n⩾2. Find limn→∞an.

Q: 8. What is the common ratio of the sequence 712 10 '243h7 g®,...? 8 12 27h39

A: From the given series:a1=38h9g14a2=112h2g12We know that common ratio is given by…

Q: Use the pigeonhole principle to show that there is a multiple of 691 whose digits are Os and 1s.…

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Q: if the pattern continues, what will be the next term in te sequence 4, 1, -2, -5?

A: Given4,1,-2,-5

Q: 11. Given that term 1 is 17 and the common difference is 4, find the number of terms in the sequence…

A: It is given that the first term is, a1 = 17. The common difference is, d = 4. Let the number of…

Q: In geometric sequence a1, a2, · ·… · , an , if az = 686 and ag = 33614, then the common ratio is O…

A: Given a1,a2,a3…,an is geometric sequence.  To find the common ratio if a3=686 and a5=33614.…

Q: For an arithmetiIC sequence, ar 15. If the common difference is -1, find: the sum of the first 34…

A:

Q: what is the 22nd term  in the fibonacci sequence with the calculation

A: The nth term of fibonacci sequence is Fn=1+5n-1-5n2n5

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: 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: Which of the following conjectures describes the pattern of the sequence 2, 4, 8, 16, 32? * O Two is…

A: Given: 2, 4, 8, 16, 32?

Q: Construct the difference table to predict the next term in the sequence: 6, 9, 14, 26, 50, 91, 165 O…

A: Here, to construct the difference table to predict the next term in the sequence 6,9,14,26,50,91,__

Q: What is the sum of 0.34343434, .... , and 4.4111... (Under Geometric Sequence Topic

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Q: Provide a simple formula or rule that generates the terms of an integer sequence 2, 16, 54, 128,…

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Q: 2. A labourer who works six days a week started a job on Tuesday at 10:00am and finished after…

A: given that a labourer works for 6 days a weekhe starts his job on tuesdayfinished after working for…

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

A: Solution is given below:

Q: Given the geometeric sequence 8, 6/1, 9/2 find an explicit formula for an

A: Let's call the i-th term of the sequence as ai.We have a1 = 8a2 = 6and a3 = 9/2

Q: Predict the next number in the sequence: 3/12, 5/34, 7/56, 9/78, ?

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