Is the following sequence a Fibonacci sequence? (1,1,2,3,5,8, cdots, a_{n}), where (a_{n}) is the integer nearest to

Question:

Is the following sequence a Fibonacci sequence? $1,1,2,3,5,8, \cdots, a_{n}$, where $a_{n}$ is the integer nearest to $\frac{1}{\sqrt{5}}\left[\frac{1+\sqrt{5}}{2}ight]^{n}$

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Nature Of Mathematics

ISBN: 9781133947257

13th Edition

Authors: Karl J. Smith

See More Books

Question Posted: Jan 28, 2024 01:03 AM

See More Questions

Which of the following activities is required by GASB standards to be reported in an Internal Service Fund? (1) Centralized data processing (2) Centralized janitorial services
SUGGEST THERAPY BASED ON THE INFORMATION LISTED (list as many types of therapy that you think will apply) THERAPY TYPES: CBT-cognitive behavioral therapy, ECT-electro- convulsive shock therapy, BIO-...
Write a Python program to generate the Fibonacci sequence up to n terms. The program should prompt the user to enter the value of n and then display the Fibonacci sequence up to that number of terms....
Drag the labels onto the diagram to identify the cell types and matrix components of areolar connective tissue, a model connective tissue. Neutrophil Collagen fiber Lymphocyte Ground substance...
A person jumps off a diving board 4.0m above the waters surface into a deep pool. The persons downward motion stops 2.0m below the surface of the water. Estimate the average deceleration of the...
In one-hundred words or less using Richard Daft and Robert Lengel's Media Richness Theory, define the theory then explain a situation where the inappropriate medium was used by YOU and what would...
What is the plain-meaning rule?
Financial Statements Circus City issued an 8%, 10-year $2,000,000 bond to build a monorail mass transit system. The city received $1,754,217 cash from the bond issuance on January 1, 2012. The bond...
5. Consider uniform, inviscid, supersonic flow exhausting from a rocket engine nozzle. For fixed back pressure p (i.e., the ambient pressure outside the nozzle), qualitatively draw the first few wave...
Apartment blocks of $n$ floors are to be painted blue and yellow, with the rule that no two adjacent floors can be blue. (They can, however, be yellow.) Let $a_{n}$ be the number of ways to paint...
Is the following sequence a Fibonacci sequence? $a_{n}$ is one more than the $n$th term of the Fibonacci sequence.
Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and line about the x-axis. y = x, y = 0, y = 2 - x
Short Rate Dollar Duration SR $ Dur = -(K u -K d )/(r u -r d ), where K u =Asset up payoff, r u =6.004% K d =Asset down payoff, r d =4.721% What are the SR dollar durations and SR durations of the...
You draw 320 mL of 15 ? C water from the tap and pop it into a 900-W microwave oven to heat for tea. How long should you microwave the water so it just reaches the boiling point? Express your answer...
How many times larger is the momentum of the 1795 kg hippo than the momentum of a 50.8 g dart being fired at 405 m/s? 0.240 times 240 times 31.7 times 86.9 times
Probability and Impact Weight 5% of the final grade Due no later than 11:00 p.m. on Sunday of Unit 6 Objectives [CLO 1, CLO 2, CLO 3, CLO 4, CLO 5, CLO 6] On successful completion of this...
The distance between Tampa and Orlando is 100 miles. If you leave Tampa at noon and arrive in Orlando at 1 pm, how fast did you travel, in mph? If one mile is equal to 1.6 km, what was your velocity...
Using the information in the accompanying table, answer the questions that follow. Year (t) Cash flow 1 ............... $ 800 2 ............... 900 3 ............... 1,000 4 ............... 1,500 5...
If the joint cost function for two products is C(x, y) = xy2 + 1 dollars (a) Find the marginal cost (function) with respect to x. (b) Find the marginal cost with respect to y.
A fish that you are looking at from a boat seems to be 60 cm below the water surface. The actual depth of the fish a. is less than 60 cm b. is 60 cm c. is more than 60 cm d. may be any of these,...
The index of refraction of a transparent substance is always a. less than 1 b. 1 c. greater than 1 d. any of the above
Light is said to be a transverse wave. What is it that varies at right angles to the direction in which a light wave travels?
5) You are designing a network and given a network address of 160.100.0.0. You've been assigned the task of creating a network that can support a minimum of 1200 hosts per subnet. Taking into...
Use the definitions of the O, 9, and e notations (but not the general theorem on polynomial orders) to show that: (a) is (2). Show your reasoning. (b) is O(a). Show your reasoning. x+25x+4, 1 -50x-...
Use the theorems on graphs and trees to help you with this question. (a) Either draw a tree with 5 vertices and total degree 10, or explain why no such graph exists. (b) Either draw a connected graph...

Is the following sequence a Fibonacci sequence? (1,1,2,3,5,8, cdots, a_{n}), where (a_{n}) is the integer nearest to

Question:

Step by Step Answer:

No the sequence you described where an is the integer nearest to 15 152n is not a Fibonacci sequence ...View the full answer

Nature Of Mathematics

Students also viewed these Sciences questions