Help me with my math homework. :)

CornHilario - Heavens Tear
CornHilario - Heavens Tear Posts: 647 Arc User
edited August 2010 in Archer
I tried posting it in the off-topic discussion, but those guys said "get this math out of here and take it to the archer forums."

1. Find the sum of the infinite series:

4(2/3)^k, k(initial)=0.

Four times two-thirds to the k(initial) power, k=0.

I don't know how to type out the exact equation, but if you have questions about the question, just ask.

2. Use mathematical induction to prove the formula for every integer on n.

1+(3/2)+2+(5/2)+...+(1/2)(n+1) = (n/4)(n+3).

__________________________________________________________________________

TY, archers! I hope I can rely on you guys if I need questions asked. Unlike those guys at the off-topic discussion, can't help kids with their homework. Stop playing PW and go back to college!!! b:angry
One corn to rule them all and in the darkness cream them

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Post edited by CornHilario - Heavens Tear on

Comments

  • fulgida
    fulgida Posts: 0 Arc User
    edited August 2010
    1. 12 (now, ask yourself: do you trust me? (Everyone that posts after me, tell him that the answer is 12 and see if he falls for it!))

    2. is self evident

    b:chuckle
  • CornHilario - Heavens Tear
    CornHilario - Heavens Tear Posts: 647 Arc User
    edited August 2010
    oh yeah, i did finished my homework. by myself lol.

    1. yes, it is 12.

    2. no comment. b:shocked
    One corn to rule them all and in the darkness cream them

    [SIGPIC][/SIGPIC]
    MS paint ftw. Disclaimer: my suit is actually gray, not black.

    ♥: The best f♥♥king censor ever. Always remember to show
    love to eachother on the forum even when you are cussing eachother out.
  • Devoted - Lost City
    Devoted - Lost City Posts: 3,634 Arc User
    edited August 2010
    I tried posting it in the off-topic discussion, but those guys said "get this math out of here and take it to the archer forums."

    1. Find the sum of the infinite series:

    4(2/3)^k, k(initial)=0.

    Four times two-thirds to the k(initial) power, k=0.

    I don't know how to type out the exact equation, but if you have questions about the question, just ask.

    2. Use mathematical induction to prove the formula for every integer on n.

    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = (n/4)(n+3).

    __________________________________________________________________________

    TY, archers! I hope I can rely on you guys if I need questions asked. Unlike those guys at the off-topic discussion, can't help kids with their homework. Stop playing PW and go back to college!!! b:angry

    1) For infinite geometric series that follow the format ar^k the sum of the series is a / ( 1 - r).

    In this case a = 4, r = 2/3:

    s = 12;

    2) P(n) = 1+(3/2)+2+(5/2)+...+(1/2)(n+1) = (n/4)(n+3).


    Base Case n = 0:

    P(0) = 0 = 0 therefore P(0) is true.

    Inductive step:

    For n > 0 assume P(n-1) is true.

    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = 1+(3/2)+2+(5/2)+...+(1/2)(n) + (1/2)(n+1)
    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = ((n-1)/4)(n+2) + (1/2)(n+1)
    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = [(n-1)(n+2) + 2(n+1)]/4
    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = (n^2 + 3n) / 4
    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = (n/4)(n+3).
    QED


    You're lucky I have exams this week and I figured this was an old refresher :x
  • Teppeii - Dreamweaver
    Teppeii - Dreamweaver Posts: 1,206 Arc User
    edited August 2010
    It's official. Archer forums > all other fourms. :3
    On indefinite hiatus :3
  • Moranine - Lost City
    Moranine - Lost City Posts: 319 Arc User
    edited August 2010
    1) For infinite geometric series that follow the format ar^k the sum of the series is a / ( 1 - r).

    In this case a = 4, r = 2/3:

    s = 12;

    2) P(n) = 1+(3/2)+2+(5/2)+...+(1/2)(n+1) = (n/4)(n+3).


    Base Case n = 0:

    P(0) = 0 = 0 therefore P(0) is true.

    Inductive step:

    For n > 0 assume P(n-1) is true.

    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = 1+(3/2)+2+(5/2)+...+(1/2)(n) + (1/2)(n+1)
    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = ((n-1)/4)(n+2) + (1/2)(n+1)
    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = [(n-1)(n+2) + 2(n+1)]/4
    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = (n^2 + 3n) / 4
    1+(3/2)+2+(5/2)+...+(1/2)(n+1) = (n/4)(n+3).
    QED


    You're lucky I have exams this week and I figured this was an old refresher :x
    I love you Devoted.
    [SIGPIC][/SIGPIC]
  • CornHilario - Heavens Tear
    CornHilario - Heavens Tear Posts: 647 Arc User
    edited August 2010
    ty all. from now on, i will post my math questions here lol
    One corn to rule them all and in the darkness cream them

    [SIGPIC][/SIGPIC]
    MS paint ftw. Disclaimer: my suit is actually gray, not black.

    ♥: The best f♥♥king censor ever. Always remember to show
    love to eachother on the forum even when you are cussing eachother out.
  • HexOmega - Dreamweaver
    HexOmega - Dreamweaver Posts: 2,342 Arc User
    edited August 2010
    I tried posting it in the off-topic discussion, but those guys said "get this math out of here and take it to the archer forums."



    b:chuckleb:laugh

    the word is spreading

    rofl
    i like potato
  • PenutButer - Dreamweaver
    PenutButer - Dreamweaver Posts: 183 Arc User
    edited August 2010
    I love everyone that posts on the archer forums :o specially fishbone man :D
  • Esnemyl - Dreamweaver
    Esnemyl - Dreamweaver Posts: 3,079 Arc User
    edited August 2010
    Gah... what is this I dont even X_X
    Its' either that I have entered the matrix.. or I am just dumb because maths is my worse subject.
    [SIGPIC][/SIGPIC]<3 by Silvy
    Reborn ditzy archer with a serious oreo addiction =3

    '...cuz my IQ is just above what is required to function as a human' - tsumaru2
  • Dyskrasia - Heavens Tear
    Dyskrasia - Heavens Tear Posts: 2,161 Arc User
    edited August 2010
    Gah... what is this I dont even X_X
    Its' either that I have entered the matrix.. or I am just dumb because maths is my worse subject.

    You have to get to at least level 90 before you'll be good at math, sorry.
    [SIGPIC][/SIGPIC]
    Evict is a sexy chalupa. <3
    retired, etc
  • KibblesnBitz - Sanctuary
    KibblesnBitz - Sanctuary Posts: 129 Arc User
    edited August 2010
    You have to get to at least level 90 before you'll be good at math, sorry.

    Hahahahahaha win. b:laugh
    [SIGPIC][/SIGPIC]

    Enelysion Executor
    Proud She-Barb
    b:cute
  • Esnemyl - Dreamweaver
    Esnemyl - Dreamweaver Posts: 3,079 Arc User
    edited August 2010
    Lol, yes I do really suck at maths.. it's been my worst subject since forever. XD
    No matter what level I will be, i'm never gonna be good at it. :p
    [SIGPIC][/SIGPIC]<3 by Silvy
    Reborn ditzy archer with a serious oreo addiction =3

    '...cuz my IQ is just above what is required to function as a human' - tsumaru2
  • truekossy
    truekossy Posts: 7,021 Arc User
    edited August 2010
    Lol, yes I do really suck at maths.. it's been my worst subject since forever. XD
    No matter what level I will be, i'm never gonna be good at it. :p

    Don't worry, you just have to hit 90. All archers become godly math experts once they get to that level.

    That or they realize that they're not really archers and reroll.
  • NekoCreeper - Heavens Tear
    NekoCreeper - Heavens Tear Posts: 21 Arc User
    edited August 2010
    truekossy wrote: »
    Don't worry, you just have to hit 90. All archers become godly math experts once they get to that level.

    That or they realize that they're not really archers and reroll.

    Lhttp://pwi-forum.perfectworld.com/images/buttons/submit_reply.gifmao b:laughb:laughb:laughb:laugh
  • XylolyX - Heavens Tear
    XylolyX - Heavens Tear Posts: 1,097 Arc User
    edited August 2010
    Gah... what is this I dont even X_X
    Its' either that I have entered the matrix.. or I am just dumb because maths is my worse subject.

    Glad to know I'm not the only one.
    [SIGPIC][/SIGPIC]
    Lvl10XBarb
    Lvl10XArcher
    lvl10XAssassin
  • fulgida
    fulgida Posts: 0 Arc User
    edited August 2010
    Gah... what is this I dont even X_X
    Its' either that I have entered the matrix.. or ...

    Coming soon:

    An archer's guide to gauss-jordan reduction.

    (Welcome to the real world.)

    b:chuckle
  • Tygurr - Sanctuary
    Tygurr - Sanctuary Posts: 296 Arc User
    edited August 2010
    ....... O.o

    *casually walks out the room, slowly shaking head in disbelief*
    Somewhat retired from PWI, now playing Hellgate Global full time