Ask Experts Questions for FREE Help !
Ask
    cordov43's Avatar
    cordov43 Posts: 1, Reputation: 1
    New Member
    		  
    #1

    Jan 27, 2009, 09:00 PM
    math induction
    problem: math induction 1+27+125... +(2n-1)^3=n^2(2n^2-1)


    Please help!!
    juhi2011's Avatar
    juhi2011 Posts: 91, Reputation: 4
    Junior Member
    		  
    #2

    Jan 27, 2009, 09:04 PM

    1+27+125... +(2n-1)^3=n^2(2n^2-1)
    this can be expressed in the form :
    1^3+3^3+5^3... (2n-1)^3, now you can write the sum of the cubical equation using the formula and conclude the result...
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
    		  
    #3

    Jan 28, 2009, 04:32 PM


    Add to both sides:



    The right side becomes

    And the proof is complete.
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

To take math or not to take math? Warning:long [ 7 Answers ]

Hey I need some advice. I'm currently a high school junior, and I am HOPELESS at mathematics. I've always managed to scrape by with 65s, and trust me its not lack of effort, I try really hard. All my other grades are over 90s, with the exception of sciences which are in the high 80s. Last year I...

I need math skills on this math problems [ 6 Answers ]

81 divided by 3726.83 divided by 3158

Math Induction [ 1 Answers ]

Here is what I have done so far. Can anyone offer suggestions? 1^3 + 2^3 + 3^3 + * * * + n^3 = 1/4(n^2) Let P(1) = 1 then 1^3 = 1/4(1^2)=1 so P(1) is true. So we assume since it is true for P(1) then it must be true for P(k) as well and then need to prove true for P(k+1) so P(k) =...

Induction or gas hob? [ 2 Answers ]

I am going to buy new hob, should I go for induction or gas. Which one is best cost wise? Many thanks! mofa

View more questions Search