How much XP you need to achieve the level?

[imnerdhehe]

Today, I was just wondering when will I achieve level 100 and I didn't knew obviuosly...
Because after every level up, XP requirement to achieve next level increases by a number.
So, by just using a simple math known as Arithmatic Progression, we are going to find it out.
I have,
n= level
d=200
To achieve level 2 we need 1000 XP
means a=1000-200=800
so to achieve level 100,
Sn=100/2[2(800)+(100-1)200]
Sn=50[1600+19800]
Sn=50*21400
Sn=1,070,000 XP
So to achieve level 100, we need 1,070,000 XP.
If I play Bedwars solos in which one match gives 120 XP,
matches need to play = 10,070,000/120
= 8,917 approx.
and if one match is about 100 sec,
= 8917*100
= 891,700 sec
= 214 hours
Gotta play 214 hours straight to ahieve level 100 ;-;