What the 16th, 21st, and 27th term in Fibonacci sequence using Binet's Formula

Q: a. The first seven terms of the Fibonacci-like sequence with seeds 2, 6 F, F2 F3 F4 Fs F6 F7 ...

A: The Fibonacci sequence is obtained using the  relation  where n is nth terms In other words, the…

Q: 1. The third and eighth term of a geometric sequence are 8 and – respectively. What is 1 4 the first…

A: 1.The nth term of geometric sequence;an = a rn-1a3 =a r28=a r2 ...(1)a8 =a r714=a r7…

Q: 16. Find the 20th term of a Fibonacci sequence.

A: Here we have to use the concept of the Fibonacci sequence.

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

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Q: Given the Fibonacci Sequence, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597,…

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Q: What is fibonacci sequence

A: The Fibonacci sequence was given by Leonardo da Pisa-Fibonacci.

Q: How will u categorize fibonacci sequence?

A: fibonacci sequence  is such that each number is the sum of the two preceding ones starting from 0…

Q: Select the first five terms of the sequence. (Assume that n begins

A: Introduction: A sequence is a collection of numbers (or items) that follow a specific pattern and…

Q: 5. Distinguish between a sequence and a series. Use both words and examples to make this…

A: Distinguish between a sequence and a series:

Q: Find at least three different sequences beginning with the terms 4, 8, 16 whose terms are generated…

A: Given that  The sequence   4,8,16

Q: Find the indicated term of the geometric sequence. 9th term of 0.6, 0.06, 0.006,.. Enter the 9th…

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Q: A Fibonacci-type sequence begins with 4,3. Wrote the next 5 terms of the sequence.

A: Answer and explanation is given below...

Q: Propose a formula for the sum of the first n terms of the sequence. Then use mathematical induction…

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Q: 9. A sequence is defined by the rule a, = +n with a, = 20. Find the value of a, %3D

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Q: Find the 30th term in the Fibonacci sequence using the Binet's formula

A: The Fibonacci sequence is of the form, Fib(n)=ϕn--1nϕn5 ϕ=5+12ϕ-1=1-52 Substituting the values, the…

Q: Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=2, and so on.…

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Q: A Fibonacci-like sequence has the first two terms as -8 and -2. Find the first 10 terms. Find the…

A: We have to find the terms of fibonacci sequence

Q: 5. The base of a right triangle right triangle is equal equal to the sum of the first ten,…

A: We need to find area, perimeter, hypotenuse.

Q: Knowing that 198 is not a term in the Fibonacci Sequence, what Fibonacci term (number) is the…

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Q: 1. What is the 21st term of the arithmetic sequence 19,14, 9, 4...? 2. Find three terms between 6…

A: according to our answering guidelines we can only answer 3 subparts at a time, rest you can repost…

Q: what is the 10th number in the fibonacci sequence

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Q: Find the 83rd term of the arithmetic sequence with 1st term 6 and common difference −1/2

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Q: Consider the sequence: 17, 14, 11, 8, ..., find the 26th term of the sequence.

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Q: Fibonacci Sequence of 20th, 35th, and 40th using binets formula

A: Introduction: There are many different methods to determine the Fibonacci number. Through solving…

Q: An arithmetice sequence has first term a =1 and fourth term ag = 16. How many terms of this sequence…

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Q: Let Sn, be the sum of the first n terms of the geometric sequence 2, 6, 18, 54,.. 1. Express Sn in…

A: Given geometric sequence 2,6,18,54,...

Q: What new realizations do you have about finding the nth term of the arithmetic sequence ang finding…

A: Let AS denote arithmetic sequence.

Q: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 120

A: According to question given thatwe have to calculate the first 40 terms sum of the arithmetic…

Q: Find the value of the given terms in Fibonacci Sequence. Show your solution 1. 20th 2. 25th term

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: Find at least three different sequences beginning with the terms 1, 2, 4, whose terms are generated…

A: According to the guidelines I am answering first question only . Kindly post other questions…

Q: Þescribe the Lucas sequence in 1 or 2 sentences. Then, find the 9th and 10th terms of the Fibonacci…

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Q: If the first two terms of a Fibonacci sequence are 20,77 then what is the next term

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Q: 1. Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first…

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Q: (6) In our discussion about Fibonacci sequence, we said that Fibonacci numbers occur in the species…

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Q: What is the fifteenth number in the Fibonacci sequence considering 1 as the first term?

A: To find:- Fifteenth number in Fibonacci sequence  Given 1 as first term

Q: A Diginacci sequence is created as follows. The first two terms are any positive whole numbers.…

A: 1st number is 1 2nd number is 1 3rd number is 1+1=2 4th number is 2+1=3 5th number is 3+2=5 6th…

Q: {3, 6, 12, 24, 48, 96, 192 } How do I find the explicit formula for this sequence?

A: Given sequence is 3,6,12,24,48,96,192 To find the explicit formula. Solution: Here, we have a1=3…

Q: what is a Fibonnacci Sequence and how it works?

A: Fibonacci sequence is the sequence of positive integers such that every element in the sequence is…

Q: Find the 100th term of the arithmetic sequence with first term 2 and ninth term 18

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Q: An arithmetic sequence has first term aj = 1 and fourth term a4 = 16. How many terms of this…

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Q: Determine whether each of the following statement about Fibonacci numbers is true or false. Note:…

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Q: Using the appropriate formula,find the 17th term of the sequence 7,4,1,......

A: It is arithmetic progression

Q: 14th term of the following geomnetric sequence. Find the 1. 2, 4, 8, 0. 昌 唱

A: Use geometric series concept

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

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Q: Use Binet's Formula to find the 42nd and 52nd term of the Fibonacci's Sequence.

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Q: What are the formulas to find the nth term of the Fibonacci sequence (recursive formula or Binet's…

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Q: Find the 36th term of the arithimetic sequence with third term 10 and eight term 25?

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Q: Find the sum of the first 60 terms of the arithmetic sequence with third term 10 and eighth term 25

A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…

Q: A Diginacci sequence is created as follows. The first two terms are any positive whole numbers.…

A: The first two lines give the rules to form a Diginacci sequence starting with any two positive whole…

Q: Let 3, 10, 17, 24, 31,......be a sequence. Find an expression for its nth term i.e an and find a36

A: The given sequence is 3, 10, 17, 24, 31… Let assume that n > 0 for the sequence.

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.