How can you find the 1000 letter in " Thursday " ?

Question

anonymous · Answer

umm...what?

anonymous · Answer

How do you find the 1000th letter in the word thursday if you keep counting

zzr0ck3r · Answer

1000/8

what is the remainder?

anonymous · Answer

125

anonymous · Answer

it shoulld be less than 8

anonymous · Answer

no 1000/8 equals 125

lgbasallote · Answer

the remainder should be less than 8*

anonymous · Answer

remainder is zero

zzr0ck3r · Answer

if the remainder was 0 would it not be y?

anonymous · Answer

it would be y

zzr0ck3r · Answer

Sorry, I was not trying to give the answer, I just thought you guys were saying its wrong so I wanted to make sure...

anonymous · Answer

how is it Y

anonymous · Answer

?

zzr0ck3r · Answer

imagine we were counting to 16

16/8 has a remainder of 0

notive the 16 letter is y

zzr0ck3r · Answer

notice*

anonymous · Answer

Where is the 16 coming from

zzr0ck3r · Answer

just an example.

anonymous · Answer

Can you list me the steps pleasee i really need help?

zzr0ck3r · Answer

i think @KingGeorge is prob doing that.

kinggeorge · Answer

For example, look at the sequence of letters

thursdaythursdaythursdaythursdaythursdaythursday
           8         16         24         32        40         48

Notice that every time the letter "y" appears, you see that it is in a position divisible by 8. This is because there are 8 letters in the word "thursday."

kinggeorge · Answer

It's basically saying the same thing as labeling each number in the set $$\{1,2,3,4,5,6,7,8,9,...,997,998,999,1000\}$$With a letter. You start with the pattern "thursday" and every 8 letters, you repeat that pattern.

anonymous · Answer

yeah but isnt it 1000/8
which then equals 125
what do you do after that

kinggeorge · Answer

This means that since your word is 8 letters long, every eighth letter will be "y" starting with the number 8. 

What you want to do, is find the remainder, and not the quotient. So you have $${1000}=8\cdot125+0$$So your quotient is 125, and your remainder is 0. Somewhat unintuitively, this means that the 8th letter in "thursday" will be the 1000th letter overall.

anonymous · Answer

what if i wanna know the 1000th letter of Tuesday

zzr0ck3r · Answer

1000/7
remainder is what?

anonymous · Answer

142

zzr0ck3r · Answer

if its three its the third letter, 4 then 4th, 0 then last

anonymous · Answer

142.8571429

kinggeorge · Answer

"tuesday" only has 7 letters. So in this case, you want to find $$1000=7\cdot q+r$$you have $q=142$. What is $r$?

zzr0ck3r · Answer

we want remainder not dec

kinggeorge · Answer

$$1000=7\cdot142+r$$$$1000=994+r$$Can you tell me what $r$ is?

anonymous · Answer

idk

kinggeorge · Answer

$$1000-994=994-994+r$$Does this help?

zzr0ck3r · Answer

1000- 142*7 = r

zzr0ck3r · Answer

and we will have the rth letter

anonymous · Answer

Okay thanks