
Find three examples of the Fibonacci sequence in nature. Write a paragraph for each example. For each example, address the following questions: How does the example relate to the Fibonacci sequence? What portions of each item or situation display the

A sequence of numbers is called a Fibonaccitype sequence if each number (after for the first two) is the sum of the two numbers which precede it. For example, 1, 1, 2, 3, 5, 8 ... is a Fibonacci type sequence. If 1985, x, y, 200 are four consecutive

Like the Fibonacci sequence, a certain sequence satisfies the recurrence relation an=an−1+an−2. Unlike the Fibonacci sequence, however, the first two terms are a1=4 and a2=1. Find a32.

The Fibonacci sequence a1=1,a2=1,a3=2,a4=3,a5=5,a6=8… is defined recursively using the formulas a1=a2=1 and an+2=an+an+1 for all n≥1. Find the greatest common divisor of a484 and a2013.

F25= 75,025 and F26= 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27. I do not understand the Fibonacci sequence, could someone help me with my question and explain it to me please.


The sequence < un > is defined by the recurrence Un+1 = 3Un+1\5Un+3 initial condition of u1 = 1: Need to show un in terms of Fibonacci / Lucas numbers

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, ... starts with two 1s, and each term afterwards is the sum of its two predecessors. Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?

what is the fibonacci sequence and what is its relationship to the golden ratio? http://www.google.com/search?q=fibonacci+golden+ratio&start=0&ie=utf8&oe=utf8&client=firefoxa&rls=org.mozilla:enUS:official Many websites here that can help you 

One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first two numbers of a Fibonacci sequence as a

I guess it was skipped One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first two numbers of a

1) Describe the relationships you discovered in the Fibonacci sequences. 2) what strategies did you use to search for relationships. 3)how many examples of a relationship do you need to check before you start to believe that the relationship might be true

There is no function equation for the Fibonacci numbers, you have to use a Recursion formula. F(n) = F(n1) + F(n2) for n>2 and F(1)=1, F(2)=1 what is the equation for the fibonacci sequence

I have three problems to answer dealing with Fibonacci numbers. I understand the first two, but would like for reassurrance that they are correct and lost on the last one and could use some help. Thank you. 1. Fibonacci numbers can not be used more than

I am doing a math project on Leonardo Fibonacci, the creator of the Fibonacci's Sequence. I was wondering if someone could please tell me a website where I could get more information about his marriage. can someone help me?

Hello, I can't find a pattern to answer this question, can you help? The beginning of the fibonacci number sequence is listed below: 1,1,2,3,5,8,13,...... What is the smallest term in the sequence which has a value greater than 100?


A superFibonacci sequence is a list of whole numbers with the property that, from the third term onwards, every term is the sum of all the previous terms. For example, 1, 4, 5, 10, ... How many superFibonacci sequences with 1 involve the number 2016? A.1

I understand the Fibonacci Sequence (the simplified version). But how is it applied to real life? Please give at least two examples. Thanks

Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646? 3. Determine the geometric mean of 8

This is not a test question, but I did not know what the appropriate topic for my question is. If I used the terms 2, 3, 4, 8 consecutive terms of the Fibonacci sequence. "a" is the first and fourth terms and "b" is twice the product of the second and

Determine whether the sequence is a Fibonaccitype sequence. If it is, determine the next two terms of the sequence. 4, 5, 1, 3, 2

"Start with a pair of rabbits, (one male and one female) born on January 1. Assume that all months are of equal length and that : 1. rabbits begin to produce young two months after their own birth; 2. after reaching the age of two months, each pair

The Fibonacci sequence of numbers begins 1,1,2,3,5,8,13,21,34,55,…and continues by the rule: every number is the sum of the two previous numbers. a. Determine the next five (eleventh through fifteenth) elements of this sequence. b. Compute the ratio of

what is the fibonacci sequence???

What number comes next in the Fibonacci sequence: 0, 1, 1, 2, 3, 5 A)5 B)7 C)8 D)13 IS it b or c

F 25 = 75,025 and F 26 = 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27.


Recursive Sequences: find a formula for: 1,1,2,3,5,8,13,21 It looks like the Fibonacci sequence. Take the first two numbers and add them to get the 3rd. take the 2nd and third to get the fourth...etc. yeah, but how would i write that into a formula?

In the first sixteen terms of the Fibonacci sequence, which ones are even numbers?

F25 = 75,025 and F26 = 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27.

Using your calculateor, look at the successive ratios (of the Fibonacci sequence) of one term to the next. Make a conjecture. I don't exactly get what the questions asking. I tried listing the ratios, but I really didn't see any pattern. Thanks in advance.

How would I solve this part of the Fibonacci sequence piecewise function? f(n) = f(n1)+f(n2) if n > 1. Thanks

F25 = 75,025 and F26 = 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27.

1.Simplify 3x 3 ___ divided by ____ 4 4 2.Describe the Fibonacci Sequence.

prove f_{2n+1} = f_{n+1}^2 + f_n^2 Where f is the fibonacci sequence (so f_1=1, f_2=1, f_3=2, f_4=3, f_5=5, etc)

How many digits are in the smallest positive number divisible by th first ten numbers in the Fibonacci sequence?

I cannot solve this pattern! 1,1,4,3,9,6,16,10,25,15 HINT: two different patterns are intertwined BIGGER HINT: only look at every other number This is a conjured up sequence not identifiable by any recursion formula. The first sequnece is 1 4 9 16 25 36


The sequence < un > is defined by the recurrence Un+1 = 3Un+1\5Un+3 initial condition of u1 = 1: Need to show un in terms of Fibonacci / Lucas numbers

I am doing a practice test and I am stuck on a couple of questions. 1.) Write a rule for the following sequence 8, 1, 10, 19 2.) Find the next three terms of the sequence 2, 12, 72, 432 3.) Which explains why the sequence 81, 3, 1/9 thanks

Hey can you please explain Fibonacci numbers in the simplest way possible because I really don't get them. Like i know the sequence goes 1,1,2,3,5,8,13,21, etc...But we have to fill in a table by plugging the numbers 19 in using the equation Fn+1. Please

give the general term of the sequence 1,2,3,5,10,15,25,... Type "integer sequences" in google: Fibonacci numbers written in base 8: 1, 2, 3, 5, 10, 15, 25, 42, 67, 131, 220, 351, 571, 1142, 1733, 3075, 5030, 10125, 15155, 25302, 42457, 67761, 132440,

construct flow chart for generating the nth fibonacci serious using two seed numbers read from the user input two seed number lengthe of the fibonacci serious

1. Write a rule for the sequence. 8, 1, 10, 19... A. Start with 8 and add 9 repeatedly B. star with 9 and add 8 repeatedly C. start with 8 and add 9 repeatedly D. start with 8 and subtract 9 repeatedly 3. What is the 7th term in the following

Is Fibonacci the only pattern found in nature?

1.Write a rule for the sequence 5,4,13,22 2. Find the next three terms of the sequence 4.8.16.32 3.What is the 9th term in the following sequence 11,17,23,29

Fibonacci sequnce has this pattern: 1,1,2,3,5,8,13,21,34,55,...... each number is achieved by adding the previous number to the current number (1+1=2, 2+1=3, 3+2=5,....) List the first eight terms of the sequence formed by finding the differences of

Fibonacci sequnce has this pattern: 1,1,2,3,5,8,13,21,34,55,...... each number is achieved by adding the previous number to the current number (1+1=2, 2+1=3, 3+2=5,....) List the first eight terms of the sequence formed by finding the differences of


Let Fn be the nth number in the Fibonacci Sequence. Consider the 3 points (F30,F31),(F32,F33),(F34,F35) in the Cartesian plane. You are allowed to repeatedly apply the following operation: Let P be any one of the three points in the plane and let Q,R be

How to write an algorithm to find the fibonacci series ??? Help:/

Find the tenth term of the sequence: 6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an.

Find the tenth term of the sequence: 6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an.

Find the tenth term of the sequence: 6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an.

I need help answering these questions 1. State the Common Ratio of the following Geometric sequence 3/4 , 3/10 , 3/25 , 6/125 2. In the Arithmetic Sequence below, X = ___ 100 , ___ , _X_ , 64 3. For the Geometric Sequence below, X = ___ _X_ , 48 , ___ ,

Could someone check my work; 1. Generate the first five terms in the sequence using the explicit formula. yn = –5n – 5 –30, –25, –20, –15, –10 30, 25, 20, 15, 10 –10, –15, –20, –25, –30(my answer) 10, 15, 20, 25, 30 2. What is the

DOING A 20 QUESTION MATH TEST AND GOT STUCK ON THESE PROBLEMS!!:( 1.find the three terms in the sequence 30,22,14,6,.... 2.write a rule for the sequence 4,8,16,32 3.find the firstfour terms of the sequence represented by the expressed sequence 3n + 5. 4.a

A new sequence is formed by adding together the corresponding terms of a geometric sequence and an arithmetric sequence. the geometric sequence has a common ratio of 3 and the arthmetric sequence has a common difference of 2. The first two terms of the

I understand how to use a calculator to write the decimal point using the golden ratio which is 1.618034 and the conjugate is .618034. I also know that the relationship between the decimal expansions is that everything to the right of the decimal is the


I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term is 13. What is the first

hello, im in 3rd grade and i need help on these 2 questions. 1) What is 3 as a percentage of 10? 2) The nth term rule for a sequence is 2n+3. Write the first 4 terms in this sequence. is question 1 30% thanks if you reply

how do I do this can any body show me how? An arithmetic sequence begins 4, 9, 14, 19, 24, . . . . (a) Find the common difference d for this sequence. d = (b) Find a formula for the nth term an of the sequence. an = (c) Find the 35th term of the sequence.

The following DNA sequence represents a eukaryotic gene. Indicate which is the template and which is the coding strand, determine where transcription begins (assume it ends at the end of the sequence presented), write out the nucleotide sequence of the

A sequence is formed by adding together the corresponding terms of a geometric sequence and and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The first term of the new

Sequences 1)A sequence has a first term of 24 and every other term is one half of the previous term. a)Write the first four terms of the sequence. b)Find a recursive formula that defines this sequence. c)Find an explicit formula that defines this sequence.

Write an equation for the nth term of the arithmetic sequence. Then graph the first five terms in the Sequence. 3,8,13,18 I got 5n8 as my formula. Then plugged 5 in for n and got 17 for the 5th number in the sequence. Is this correct?

Help please, I don't understand how to do this... Give an example of an arithmetic sequence that is found in the real world. Find the common difference and write a recursive and iterative rule for the sequence. Use one of the rules to find another term of

Hi! I need help with these two questions. Thanks! 1.) Look for the first four terms for the following sequence below. an=n(n^26) 2.) For this question, remember that your answer has to begin with the second term of the following sequence. Look for the

The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair of adult rabbits produces one pair each month, and no rabbits die, then how many pairs of rabbits would be produced after seven


pls pls help out A geometric sequence begins 36, 9, 9/4, 9/16, 9/64, . . . . (a) Find the common ratio r for this sequence. r = (b) Find a formula for the nth term an of the sequence. an = (c) Find the tenth term of the sequence. a10 =

1. Find all values of p so that 6p, 4p1, p^2  1 will be an arithmetic sequence. 2. The common ration of a geometric sequence is 3. IF the terms of this sequence are 3y, y+6, z+1, ..... respectively, what is the value of z?

I posted the question several days ago and Mathmate helped to guide me along. I am just unsure if I do not understand what he is saying or if I did complete the problem right. I would appreciate any input. 1.618034  .618034 = 2.236068/sqrt 5 = 1.00000 I

1.Given a geometric sequence with a_1=6 and r=2/3, write an explicit formula for a_n, the nth term of the sequence. 2.A geometric sequence has a_4=4 and a_5=7. What is a?

the third of an arithmetic sequence is 14 and the ninth tern is 1. Find the first four terms of the sequence.

hello, i need some practises on: 1)the language and notation of sequence. 2)Recursive definition for a sequence 3)the Nth therm or general term for a sequence. can someone please give me some useful website regarding the topics above (or any other possible

find the common ratio in the sequence 8, 12, 18, 27,..... then write the next three terms of the sequence

Write out the first five term of the sequence determi whether the sequence converges and if so find its limit (n/(n+3) n=1 to n = ∞

Write out the first five term of the sequence determi whether the sequence converges and if so find its limit (n/(n+3) n=1 to n = ∞

Write out the first five term of the sequence determi whether the sequence converges and if so find its limit ( n^2)/(4n+1) n= 1 to n = ∞


a sequence begins 4,1,6,11 find the rule that generates the sequence. Then give the 5oth term is the sequence. What type of reasoning inductive or deductive, do you use when solving this problem?

Consider sequence Uvn=2x^2. Find (∇u)vn and write u as an accumalation sequence

A ball is dropped from a height of 20 ft and always rebounds 1/4 of the distance fallen. A. write a sequence for the first 3 rebound heights B. How high is the 6th rebound? C. Find the sum of all possible rebounds. I keep getting numbers that are too high.

consider the sequence given by U1=0.3 Un+1=Un+0.7 i)state what type of sequence this is. ii)write down the first 4 terms of the sequence. iii) find a closed form for sequnce. iv) use the closed form to find the nth term of the sequnce when Un=36.1

Find the common difference or ratio in each sequence. Write an algebraic expression for the sequence and find the next three terms. 6. 160, 40, 10, 2.5... 8. 1, 2, 4, 8.... Can you help me find the answers?

Find the first 6 terms of the sequence b^1 = 5. B^n = 2b(n 1) when n>1. Then write an explicit definition of the sequence and use it to find the 12th term.

The first difference of a sequence is 8, 12, 16, 20,... The sum of the first two terms of the original sequence is 14. Find the first three terms of the original sequence. The first term of the original sequence is? 4 What is the second term of the

Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence. 3,10,17,24,31,38... A. n+7;707 B. 7n;700 C. 7n4;696 D. 6n4;596

Hi i'm applying for colleges and i have to write on the essays they want. do you know where i can go to find those questions. i'm not talking about examples but the actual questions. please help I wouldn't worry much about the questions. What they are

Find the next three terms in the sequence 1. 30, 22, 14, 6... 3, 12, 21**** 1, 8, 15 1, 2, 3 2, 10, 18 4. Find the first four terms of the sequence represented by the expression. 4. 3n+5 5,8,11,14 8,11,14,17 3,6,9,12 0,8,11,14 (idk about this


Find the next three terms in the sequence 1. 30, 22, 14, 6... 3, 12, 21**** 1, 8, 15 1, 2, 3 2, 10, 18 4. Find the first four terms of the sequence represented by the expression. 4. 3n+5 5,8,11,14 8,11,14,17 3,6,9,12 0,8,11,14 (idk about this

Write an expression to describe a rule for the sequence then find the 100th term in the sequence. 4,9,14,19,24,29.... A. 4+5n;504•• B. 5n1;498 C. 5n;500 D. 4n+5;405 Correct me

Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence. 5, 13, 21, 29, 37, 45 1)8n;800 2)8n3;797 3)3n8;292 4)5+8n;805 I think #4 is correct. Thank you.

Which explains why the sequence 81, 3, 1/9,... is arithmetic or geometric? A)The sequence is arithmetic because it decreases by a factor of 1/27 B)The sequence is geometric because it decreases by a factor of 1/27 C)The sequence is arithmetic because it

1. Write a rule for the sequence. 5, –4, –13, –22,… (1 point) Start with –9 and add 5 repeatedly. Start with 5 and add 9 repeatedly. Start with 5 and subtract –9 repeatedly.*** Start with 5 and add –9 repeatedly. 2. Find the next three terms

1. Find the sum of the first five terms of the sequence 2/3, 2, 6, 18, ..... My answer is 242. Am I right? 2. Which of these two sequences form a geometric sequence: 2x, 4x2, 6x4, ..... OR x+1, 2x+2, 5x+1, .....? Find the value/s of x and what is the

Find the next three terms in the sequence 1. 30, 22, 14, 6... 3, 12, 21**** 1, 8, 15 1, 2, 3 2, 10, 18 4. Find the first four terms of the sequence represented by the expression. 4. 3n+5 5,8,11,14 8,11,14,17 3,6,9,12 0,8,11,14 (idk about this

the 3rd of an Arithmetic sequence is 8 of the 16th term is 47. Find a subed 1 and the common difference. Construct the sequence.

Write a function rule to represent the sequence. 0.3, 0.9, 1.5, 2.1,... A(n) = 0.6 + (n  1)0.3 A(n) = 0.6  (n)0.3 A(n) = 0.3 + (n  1)0.6 A(n) = 0.3 + (n + 1)0.6 Write a function rule to represent the sequence. 47, 32, 17, 2,... A(n) = 47 + (n  1)15

Find the sum of all primes p, such that p divides up, where up is the pth Fibonacci number.


Given the sequence of bases in the sense strand of DNA shown below, please answer the following questions. 5'ATGTTTCCCCAGAAGAGGTATGGGAAAAAGATTTGA3' a. Show the sequence of bases in the messenger RNA encoded by this gene. I'm not sure what this means. I

I have to answer the following questions and just need help finding the right place to look. Guess I am no posting the questions right because I get stuff that will not help me. 1. Why is it logical to write test items or assessments before producing

the seventh term of a arithmetic sequence is 72 and the tenth term of the sequence is 90. if the sequence is defined by a formula f(n), then find f(2). How would you do this?

1.write the first four terms of the sequence that begins with 2000 and has the common ratio 1.05. 2.write the first four terms of the sequence that begins with 5000 and decays 15% with each term.what is the common ratio? 3.write a recursive formula for the

1) Given the terms a35 = 1238, a70 = 1483 of an AP. Find the exact value of the term a105 a sequence, and sum of sequence. 2) Given the term a3 = 99 and a5 = 891 of GP. Find the exact value of the term a7 of the sequence and the sum of sequence.