My Math Forum  

Go Back   My Math Forum > High School Math Forum > Elementary Math

Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion


Reply
 
LinkBack Thread Tools Display Modes
February 17th, 2010, 03:58 AM   #11
Newbie
 
Joined: Dec 2009

Posts: 15
Thanks: 0

Re: Pi formula

Um, yeah, I'm trying to speed up the Leibniz formula for pi 8 times,
however, I've run into a little problem here.

I'm adding like terms of this series, and finding formulae for it.
YES, it does to pi, you can even check it.

n = 0

16(16(2n+1)^2 + 3)/4096n^4 + 8192n^3 + 5504n^2 + 1408n + 105

Which equates to:
304/105 + 2352/19305 + 6448/156009 + ... = Pi

So yeah, I need some help here, LOL.

And plus, nobody on the newsgroups would really help me. Oh, and by the way, can you guys please teach me how to get these formulae step by step?
Alegend is offline  
 
February 23rd, 2010, 07:30 PM   #12
Global Moderator
 
Joined: Dec 2006

Posts: 20,370
Thanks: 2007

What problem? I posted on December 17 a method of obtaining the formula by adding fractions.
skipjack is offline  
February 25th, 2010, 12:49 PM   #13
Newbie
 
Joined: Dec 2009

Posts: 15
Thanks: 0

Re: Pi formula

I tried adding 2 terms of the formula, but it won't work!
Alegend is offline  
March 2nd, 2010, 03:19 PM   #14
Global Moderator
 
Joined: Dec 2006

Posts: 20,370
Thanks: 2007

If you post what you did, I'll check it for you.
skipjack is offline  
March 4th, 2010, 04:05 PM   #15
Newbie
 
Joined: Dec 2009

Posts: 15
Thanks: 0

Re: Pi formula

2(1024n^2 + 1024n + 304/4096n^4 + 8192n^3 + 5504n^2 + 1408n + 105) = 2048n^2 + 2048n + 608/4096n^4 + 8192n^3 + 5504n^2 + 1408n + 105

I just added fractions. But instead, I got twice pi!
Alegend is offline  
March 4th, 2010, 08:54 PM   #16
Global Moderator
 
Joined: Dec 2006

Posts: 20,370
Thanks: 2007

You've multiplied by 2, so you're getting twice pi.
skipjack is offline  
March 6th, 2010, 09:22 AM   #17
Newbie
 
Joined: Dec 2009

Posts: 15
Thanks: 0

Re: Pi formula

But, it's the same denominator! Except n changes between terms, so do I treat them like different denominators?
Alegend is offline  
March 6th, 2010, 10:29 AM   #18
Global Moderator
 
Joined: Dec 2006

Posts: 20,370
Thanks: 2007

You added the fractions correctly, using as common denominator the product of the denominators of the fractions you were adding; there was no reason to then double the numerator (which is what you did).
skipjack is offline  
March 6th, 2010, 05:08 PM   #19
Newbie
 
Joined: Dec 2009

Posts: 15
Thanks: 0

Re: Pi formula

((1024n^2 + 1024n + 304)(4096n^4 + 8192n^3 + 5504n^2 + 1408n + 105) + (1024n^2 + 1024n + 304)(4096n^4 + 8192n^3 + 5504n^2 + 1408n + 105))/((4096n^4 + 8192n^3 + 5504n^2 + 105)(4096n^4 + 8192n^3 + 5504n^2 + 105))

Is this correct?
Alegend is offline  
March 20th, 2010, 07:13 PM   #20
Global Moderator
 
Joined: Dec 2006

Posts: 20,370
Thanks: 2007

Why are you still effectively writing the same thing twice for no reason?
skipjack is offline  
Reply

  My Math Forum > High School Math Forum > Elementary Math

Tags
formula



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Formula Help NuNu_dagobah Computer Science 4 January 8th, 2013 07:31 AM
My new formula for pi(x) nsrmsm Number Theory 7 October 15th, 2012 05:36 AM
why we use this formula r-soy Physics 3 December 23rd, 2010 08:54 PM
Formula to always get 28 djx18 Algebra 1 September 20th, 2009 05:25 PM
De Moivre's formula and Newton's binomial formula agro Probability and Statistics 3 August 27th, 2009 06:17 AM





Copyright © 2019 My Math Forum. All rights reserved.