Fibonacci sequence

Q: Determine whether sequence having the given nth term is monotonic           an = 3 + (−1)n

A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.

Q: What is the generating function for the sequence {ck},where ck represents the number of ways to make…

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Q: If F, = 6 and F2 = 3, list the first 8 terms of this Fibonacci-type sequence.

A: topic - fibonacci type sequence in fibonacci sequence, The next number is found by adding up the two…

Q: Find the first 25 terms of Fibonacci Sequence-

A: The Fibonacci sequence is a sequence where the next term is the sum of the previous two terms. The…

Q: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

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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: A tribonacci type sequence begins 1,2,1, wrote the next five terms of the sequence.

A: Tribonacci series

Q: Complete the pattern using the rule of the Fibonacci sequence. 13, 21, 34,

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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: Find the sum of the first 94 terms of the arithmetic sequence   11,15,19,23,27, . . . .

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Q: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

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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: Determine the sum of first 20 terms of the arithemetic sequence if the first term is 2 and second…

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Q: s constructed in a similar way to the Fibonacci sequence is the Lucas Sequence:…

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…

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Q: 10. Determine the sum of the sequence 500, 497,494, ... 188,

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Q: b) The sum of the first 15 terms of the sequences 7,-14, 28, –56, 112,..

A: We have to find out sum of 15 terms

Q: Find the value of the number in the 75th term in this sequences : 4, 7, 12, 19, 28, …

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Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

Q: Construct a difference table to predict the next term of the sequence.   10, 10, 12, 16, 22, 30,…

A: 10, 10, 12, 16, 22, 30;

Q: Construct a difference table to predict the next term of the sequence. 8, 1, −2, 2, 16, 43, . .

A: The next term of the sequence is obtained below: From the given information, 8, 1, –2, 2, 16, 43 ….…

Q: Find the sum of the first 34 terms of the arithmetic sequence with first term 3 and 34th term 69.

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Q: Construct a difference table to predict the next term of each sequence 9,4,3,12,37,84

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Q: Construct a difference table to predict the next term of each sequence. 9, 4, 3, 12, 37, 84, ...

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Q: 17th term of the sequence 7,4, 1,......

A: For part (1) We have to find out the 17th term of the given sequence.

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

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Q: What is the 6th term of the sequence 8, 32, 128, 512, ...?

A: what is the sixth term of the sequence , 8, 32 ,128 512, ....?

Q: Suppose I have a sequence; 3, 6, 9, 12,... Find the sum of the 6th, 12th, 18th, and 66th term please

A: SOLUTION-

Q: ijah find the sum of the fi

A: Yes Elijah find the sum of the first ten numbers in the Fibonacci sequence.. The step-by-step…

Q: What three numbers can be inserted between 81 and 16, so that  the five numbers form a geometric…

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Q: 17. Determine the next 3 terms in the sequence: 22, 31, 40, 49, 58, ... O 67, 76,85 O64, 70, 76 60,…

A: given sequence is :22,31,40,49,58,... their same distance in all number  d=31-22=40-31=9 d=9

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: Construct a difference table to predict the next term of the sequence. 1, 4, 13, 28, 49, 76, . . .

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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: what is the second term of the fibonacci sequence when the first term and the third term are 610 and…

A: First term and the third term of Fibonacci sequence are 610 and 1597  To find:- second term of…

Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…

A: 2. The required sequence can be solved as below

Q: What is the sum of the first ten terms of the Fibonacci sequence starting with one?

A: To find The sum of the first ten terms of the Fibonacci sequence starting with one.

Q: Find the 100th arithmetic sequence with 1st term 5 and eighth term 19

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Q: Consider a sequence of a numbers. 5, 6, 15, 50, 207,1040, 6275, 43938  What is the pattern and…

A: The objective is to state the pattern and the number that is not a part of the sequence 5, 6, 15,…

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: Find the value of the number in the 75th term in this sequences : 4, 7, 12, 19, 28, ._? * ...

A: The sequence given is- 4,7,12,19,28,........ We need to find 75th term in this sequence , that is…

Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: Consider the sequence: 2, 4, 8, 16, 32, ...Determine the 13th term of the sequence.

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Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

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Q: Decide whether the sequence 1, 2, 3, 4, 5, 6, 7,. is finite or infinite. ..... Choose the correct…

A: Given:      1 , 2 , 3 , 4 , 5 , 6 , 7 ........

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.…

A: According to our guidelines we can solve only first question and rest can be reposted.Thank you

Q: 5. Construct a difference table to predict the next term of a sequence 1, 7, 17, 31, 49, 71,...

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Q: - Describe four different rules for determining the next entries in the sequence that follows. Give…

A: Given, 5, 7, 11, . . .

Q: Construct a difference table to predict the next term of the sequence.   0, 10, 24, 56, 112, 190,…

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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.