12. Which of the following represents the formula of Fibonacci sequence.

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.04)" n-1…

A: Lets find common ratio r and a1,a2,a3,and,a4.

Q: 3, 12, 21, 30,...

A: A geometric sequence, is a sequence of numbers where each term after the first is found by…

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: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: and a, find 9 a, A given Geometric sequence has a, = 12 and a,

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Q: True or False: There are infinitely many numbers in the Fibonacci sequence that are divisible by 4.

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Q: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…

A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…

Q: Find next three term Of the Fallaung Ficonecci sequence 5 1 12 43 3.1

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Q: If the 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

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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: F21 - 5F, = (4F, + F11 /2 =| (3F,3)/6 =

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Q: Fibonacci sequence

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Q: 40. Find a, andr for a geometric sequence given that az = 18 and a = 486.

A: Given: a3=18    a6=486

Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: 30. Find the sum S20 of the first 20 terms of the arithmetic sequence given by an = 5 – 2n.

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Q: Find a, and r for a geometric sequence (a,) from the given information. 47 az = 47 and a, 8 a, = r =

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 1. What is the 5th term of the geometric sequence described by a, = 5(1.5)"? %3D O az = 5.0625 %3D O…

A: The given question can be solved as shown in step2

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: F29 * 3 -( 3

A: We know that, nth Fibonacci number is given by the formula Fn=151+52n-1-52n

Q: 2. If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values…

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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: If {8,11, 14, 17,.....} is the given arithmetic sequence, then the common difference d = O 3 -8 -3 O…

A: The given sequence is                                 {8,11,14,17,.....}     The first term of the…

Q: Consider the following sequence 4/7, 9/14, 5/7, 11/14, ____, if arithmetic, give d. and supply…

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Q: Is the limit of the ratio of any two successive increasing terms of the Fibonacci sequence.

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Q: 1 The following sequence is geometric: a, = 8, and a,=--a, , for n = 2, 3, 4, ... %3D O True O False

A: The given sequence a1=8 and an=-16an-1 for n=2,3,4,......

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: 11. In a geometric sequence, if a2 = 21 and az = 5103, find a and r. Make sure to use the…

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Q: For the given geometric sequence. Find the sum of the first 5 terms of 4, 12, 36,…

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Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

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: a Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find…

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…

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: For the sequence defined by: a1 = 2 2 An+1 = an - 5 Find: az = az = a4 =

A: Given : a1 = 2an+1 = 2an - 5

Q: In geometric sequence a1, a2, · · , an , if az 1421 and a5 69629, then the common ratio is

A: Given,          In geometric sequence a1,a2,....,an if a3=1421 and a5=69629.We know that,…

Q: Find the eigth term of a sequence 3,6,12

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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…

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Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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Q: Consider the following sequence: 3,9,15,21,... Find the 50th term of this sequence.

A: This is an arithmetic sequence with the common difference =d= 9-3=6 And the first term = a_1= 3

Q: 1 n(n+1)

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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: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

Q: 1. If the first three terms of an arithmetic sequence are k - 2, 2k +1 and k + 2, find the value of…

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

Q: Write an explicit formula for an, the nth term of the sequence 5, 15, 25, ....

A: *to find:- nth term, a_n.

Q: For the trihonacci type sequence begging 1,2,2 write the next five terms

A: To write the next five terms of the tribonacci sequence

Q: Find a, and a, for the following geometric sequence. az = - 6, r=3 a, =0

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Q: 17. Find the number of terms of the finite arithmetic sequence: 8, 14, 20, 26, ..., 320. (Make sure…

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Q: 1. a) Determine the first three terms of each sequence, where ne N. b) Determine whether each…

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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: A sequence of the form a, a + d, a + 2d, a + 3d,..., a +nd is called

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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