A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
Generate the first 5 terms of this sequence:
f(1) = 0 and f(2) = 1, f(n) = f(n  1) + f(n  2), for n > 2.
A. 0, 1, 1, 0, 2
B. 0, 1, 1, 2, 3
C. 0, 1, 2, 2, 3
D. 0, 1, 1, 2, 2
Please helppp! Thanks! <3
 one year ago
Generate the first 5 terms of this sequence: f(1) = 0 and f(2) = 1, f(n) = f(n  1) + f(n  2), for n > 2. A. 0, 1, 1, 0, 2 B. 0, 1, 1, 2, 3 C. 0, 1, 2, 2, 3 D. 0, 1, 1, 2, 2 Please helppp! Thanks! <3

This Question is Closed

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2f(n)=f(n1)+f(n2) Try replacing n with 3 like so f(3)=f(31)+f(32) f(3)=f(2)+f(1) You know what f(2) equals and you know what f(1) equals f(2)=1 and f(1)=0 Replace f(2) and f(1) with 1 and 0 respectively and then add those values to get f(3)

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Um... f(3) = f(1) + f(0) So, f(3) equals 1? How do I get all those other numbers in the choices? :o

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2you keep going up with n

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2find f(4) using the same f(n)=f(n1)+f(n2) formula

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2then do f(5) and so on...

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1... But what //is// f(5)? Idk I've been doing this for like an hour and the lesson is horrible at describing it. :(((

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1And I'm not supposed to find f(5), I think... I'm supposed to find 5 terms or something.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2f(1), f(2),f(3),f(4),f(5) are the numbers in your sequence. f(1) and f(2) are given we just found f(3) given f(n)=f(n1)+f(n2) then we do the same for f(4) and f(5) Evaluate: f(4)=f(41)+f(42) and f(5)=f(51)+f(52)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2You must do f(4) before you do f(5) though

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2Since to evaluate f(5), you will need to know f(4) and f(3)

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1f(4) = f(41) + f(42) f(4) = f(3) + f(2) f(4) = 5? _________ f(5) = f(51) + f(52) f(5) = f(4) + f(3) f(5) = 7? Is this correct?

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1...? I don't understand. D:

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2So f(1)=0 f(2)=1 f(3)=f(31)+f(32) =f(2) +f(1) But we are given that f(2) is 1 and f(1) is 0 So we replace f(2) with 1 and we replace f(1) with 0 like so =1 +0 =1 So we just concluded as we concluded earlier that f(3) is 1 not 3

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2Now to find f(4) You use the same formula f(n)=f(n1)+f(n2) this is the same formula we used to evaluate f(3) We will use this formula over and over until we are done finding numbers in the sequence (which this sequence goes on forever) So anyways f(4) Replace n with 4 f(4)=f(41)+f(42) =f(3) +f(2) Recall we just found f(3) and f(2) was given to us.

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1... I am so confused. Okay so the formula comes out to ... f(4) = f(1) + f(1)? ??? ?? So the answer is 2? Does that make the answer to the entire problem C? :S

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2well f(3) is just one not f(1) and f(2) is just one not f(1)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2f(1) is not equal to f(2)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2but 1 is equal to f(2)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2but yes 1+1 is equal to 2

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1But in the problem... it says " f(2) = 1"?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2yes f(2) =1 but f(2) does not equal f(1) f(1) is 0 0 is never 1 so f(2) is never f(1) because they hold different values

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Oh. I thought they were the same lol w/e. So is the answer C or do I have to waste my time farther into the problem?? :o

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2I'm pretty sure that is not what we got...

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2the first five terms are f(1),f(2),f(3),f(4),f(5) we have that f(1)=0, f(2)=1, f(3)=1, f(4)=2,....

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Ohhh or it could be B or D. I know it isn't A...

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Ugh so I have to do more. x_x Math sucks omfg. Okay so lemme figure out the 5 term thingy.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2You don't have to do more.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2You just aren't realizing what we got for the first 4 numbers I guess

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Well two choices have "0, 1, 1, 2" as the first four numbers...

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2So yeah we do have go one more because b and d both begin with that (sorry didn't realize)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2I leave finding f(5) to you

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Whats the equation thingy??

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2f(n)=f(n1)+f(n2) this is the same one we have been using

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2If we want to find f(5) and we are given f(n)=f(n1)+f(n2) then in order for f(n) and f(5) to be the same n would have to be 5. So replace all the n's you see in f(n)=f(n1)+f(n2) with 5.

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1f(5)=f(51)+f(52) f(5) = 4 + 3 f(5) = 2 + 1 f(5) = 3 So it's "B," right?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2You mean that f(51) is equal f(4) and that f(52) is equal to f(3) You only performed the inside operation You haven't even used f So You should have f(5)=f(51)+f(52) =f(4) + f(3) because 51 is 4 and 52 is 3 =2 + 1 because f(4) is 2 and f(3) is 1 =3 The answer is right Just the work was a little off. But yes now we can say what the answer is

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Yeah I don't need to show my work. Math is stupid so as long as I have the right answer, I'll pass. :) Hey, can you help me check the answer I found on the first part of a different question? Just so I know I'm on the right path to the correct answer?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2Math is in everything.

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Lol I'm more of a calculator type of girl, myself. I'm a writer so it's not as important to me (unless someday a girl behind the cash register at the grocery store makes me solve a complicated equation about substitutions for x or whatever (with work shown!) LOL) So yeah, anyways, can you help just check my answer for the first part of this thing? I need to get this work done so I don't fail World History. D:

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1(I'm homeschooled so my douchy World History teacher is going to call me in like 15 minutes and ask a bunch of questions I'll end up blundering on x_x. Next semester I'm going back to brick and mortar before I flunk World History and Algebra completely. lol)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2Well, I would have to say it would help you and I have if you had a more positive attitude about math.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2And any of your future math tutors.

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Yeah any positivity on the subject more along the lines of me looking forward to the bright horizon: the time that I'm allowed to stop taking math classes. Lol. I guess what motivates me is the "It'll be over soon~" idea like soldiers on the battlefield or somebody starving to death in the wilderness. I'd like to get it done and not have math bring down my 4.0 GPA. x_x I've always sucked at it, no matter how hard I try, and I don't like the subject in general (In my opinion, it's a bit impractical. Nobody I've ever met that isn't in a field like architecture or something has ever meticulously plotted graph points. And the only fractions I've ever found to be actually necessary in real life are 1/2, 1/3, and 1/4, basically.) I guess I'll never be a mathematician. *shrugs* Oh well. Lol.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2Go ahead and post your other problem.

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Okay. :) "Find f(5) for this sequence: f(1) = 2 and f(2) = 5 f(n) = f(1) + f(2) + f(n  1) n > 2. f(5) = ______ " This is the problem. I made this equation: f(3) = f(1) + f(2) + f(3  1) So, with this, I ended up making: f(3) = 2 + 5 + f(3  1) The "f(3  1)" part is confusing me. I don't know what to do with this section as I try to evaluate the terms. D:

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2so what is f(31) equal to? f(31) is equal to f(2) and f(2) is given to you in the problem

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Oooh! Okay, I didn't think about it that way. f(3) = 2 + 5 + 5 f(3) = 12 Is this correct? (My original answer wasn't at all; I got 9 somehow. Lol)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2that is right! good job!

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Okay! :)) Now one last question; how do I translate that into finding the 4th term? f(4) = f(1) + f(2) + f(4  1) f(4) = 2 + 5 + 12 Does it look like this to solve it? :3

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2Yep! That is great. I think you are getting it.

jessifosho
 one year ago
Best ResponseYou've already chosen the best response.1Okay! Thanks for all your help! :D

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2I'm really happy that you are happy that you did it. :) Now I must go. Good luck on everything.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2I gave you a medal for understanding by the way. :)
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.