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Hi I am raagavbala! Congratulations! You reached this page! | Hi I am raagavbala! Congratulations! You reached this page! | ||
< | If this is your first time using this page increase the user count! | ||
<cmath>\text{\Huge{1}}</cmath> | |||
Let's solve this problem: | |||
<cmath>1 + 2 + 3 + 4 + 5 + \dots~?</cmath> | |||
Let's see how big this number gets! | |||
<cmath>1 + 2 + 3 + 4 + 5 + \dots + 10~?</cmath> | |||
<cmath>55</cmath> | |||
<cmath>1 + 2 + 3 + 4 + 5 + \dots + 100~?</cmath> | |||
<cmath>5050</cmath> | |||
<cmath>1 + 2 + 3 + 4 + 5 + \dots + 1000~?</cmath> | |||
<cmath>500,500</cmath> | |||
<cmath>1 + 2 + 3 + 4 + 5 + \dots + 1000000000000000000000000000000000000000000000000000?</cmath> | |||
<cmath>500000000000000000000000000000000000000000000000000500000000000000000000000000000000000000000000000000</cmath> | |||
Ok, so this is definitely going to <math>\infty.</math> So we know the equation for this is <math>\frac{n(n+1)}{2}</math> so, | |||
<cmath>\frac{\infty(\infty+1)}{2} = \infty</cmath>. | |||
So we get <math>\infty</math>! Wasn't that obvious? :P | |||
==About Me== | |||
I like solving fun math problems and like to do alcumus! Here are my stats: | |||
[b]Highest Overall Rating:[/b] 96.06 | |||
[b]Overall Level:[/b] 25 | |||
[b]Prealgebra Level:[/b] 25 | |||
[b]Number Theory Level:[/b] 25 | |||
[b]Algebra Level:[/b] 25 | |||
[b]Geometry Level:[/b] 17 | |||
[b]Intermediate Algebra Level:[/b] 23 | |||
[b]Precalculus Level:[/b] 23 | |||
[b]Stamina Level:[/b] 25 | |||
[b]Accuracy Level:[/b] 20 | |||
[b]Power Level:[/b] 25 | |||
[b]Resilience Level:[/b] 25 | |||
Latest revision as of 09:04, 30 March 2021
Hi I am raagavbala! Congratulations! You reached this page!
If this is your first time using this page increase the user count!
![\[\text{\Huge{1}}\]](http://latex.artofproblemsolving.com/c/4/0/c40d1bee05ae0645a092b36a391ba1429cc38a26.png)
Let's solve this problem:
![\[1 + 2 + 3 + 4 + 5 + \dots~?\]](http://latex.artofproblemsolving.com/3/3/3/333f019dfc4c33af478211d30e223a27636c6bb2.png)
Let's see how big this number gets!
![\[1 + 2 + 3 + 4 + 5 + \dots + 10~?\]](http://latex.artofproblemsolving.com/c/1/f/c1f8a9c757b7c4403e1a3ea24e117f3aff110992.png)
![\[55\]](http://latex.artofproblemsolving.com/d/6/a/d6ae60b3a3e3f20c0eb25f410d853554afb761c0.png)
![\[1 + 2 + 3 + 4 + 5 + \dots + 100~?\]](http://latex.artofproblemsolving.com/f/4/2/f425f3069d40927c64743c25e0882f7989c4cc52.png)
![\[5050\]](http://latex.artofproblemsolving.com/0/8/2/0821f9883f59997e648df3ff5d6f1388cefa4f7a.png)
![\[1 + 2 + 3 + 4 + 5 + \dots + 1000~?\]](http://latex.artofproblemsolving.com/4/3/b/43b0559cd25ed19a4170c7aa37c463c788e01704.png)
![\[500,500\]](http://latex.artofproblemsolving.com/7/a/8/7a829d281334f46e5ebd5ecf7aa586d49a9c7e92.png)
![\[1 + 2 + 3 + 4 + 5 + \dots + 1000000000000000000000000000000000000000000000000000?\]](http://latex.artofproblemsolving.com/8/9/d/89d19d59f71a2b6a7bc71ee26f8cfa0b7ed64fb1.png)
![\[500000000000000000000000000000000000000000000000000500000000000000000000000000000000000000000000000000\]](http://latex.artofproblemsolving.com/2/8/1/28182239f2340b28af43db0b16abbdac8cb2d9e6.png)
Ok, so this is definitely going to 
So we know the equation for this is 
so,
![\[\frac{\infty(\infty+1)}{2} = \infty\]](http://latex.artofproblemsolving.com/5/5/a/55a14477b3145f9b0284c7c1da52793aec479756.png)
.
So we get 
! Wasn't that obvious? :P
About Me
I like solving fun math problems and like to do alcumus! Here are my stats:
[b]Highest Overall Rating:[/b] 96.06 [b]Overall Level:[/b] 25 [b]Prealgebra Level:[/b] 25 [b]Number Theory Level:[/b] 25 [b]Algebra Level:[/b] 25 [b]Geometry Level:[/b] 17 [b]Intermediate Algebra Level:[/b] 23 [b]Precalculus Level:[/b] 23
[b]Stamina Level:[/b] 25 [b]Accuracy Level:[/b] 20 [b]Power Level:[/b] 25 [b]Resilience Level:[/b] 25
