#### Question Details

1.A Fibonacci-type sequence that has been studied by mathematicians is the Lucas sequence, named

**Description**

Answer Download

**The Question**

1.A Fibonacci-type sequence that has been studied by mathematicians is the Lucas sequence, named after a French mathematician of the nineteenth century. The first ten terms of the Lucas sequence are 1, 3, 4, 7, 11, 18, 29, 47, 76, 123. What is the eleventh term of the Lucas sequence?

The eleventh term of the Lucas sequence is

2.

The following pattern is established involving terms of the Fibonacci sequence. Use inductive reasoning to make a conjecture concerning the next equation in the pattern, and verify it. You may wish to refer to the first few terms of the sequence given in the text.

1=1

1+2=3

1+2=3

1+2+5=8

1+2+5+13=21

1+2+5+13+34=55

Each equation skips the next Fibonacci number to add the one after. Each side of the next equation will equal

Following the pattern, write the next equation.

3. What is the approximate value of the golden ratio to the nearest thousandth?

The approximate value of the golden ratio is

4.What is the exact value of the golden ratio?

5. Find the residue of 227 (mod 14)

##### Pay using PayPal (No PayPal account Required) or your credit card . All your purchases are securely protected by .

#### About this Question

STATUSAnswered

QUALITYApproved

DATE ANSWEREDSep 21, 2019

EXPERTTutor

ANSWER RATING

#### BEST TUTORS

We have top-notch tutors who can do your essay/homework for you at a reasonable cost and then you can simply use that essay as a template to build your own arguments.

You can also use these solutions:

- As a reference for in-depth understanding of the subject.
- As a source of ideas / reasoning for your own research (if properly referenced)
- For editing and paraphrasing (check your institution's definition of plagiarism and recommended paraphrase).

#### STUCK WITH YOUR PAPER?

### Order New Solution. Quick Turnaround

Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions.
New orders are original solutions *and precise to your writing instruction requirements. Place a New Order using the button below.*

WE GUARANTEE, THAT YOUR PAPER WILL BE WRITTEN FROM SCRATCH AND WITHIN A DEADLINE.