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

- anonymous

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

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- anonymous

umm...what?

- anonymous

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

- zzr0ck3r

1000/8
what is the remainder?

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## More answers

- anonymous

125

- anonymous

it shoulld be less than 8

- anonymous

no 1000/8 equals 125

- lgbasallote

the remainder should be less than 8*

- anonymous

remainder is zero

- zzr0ck3r

if the remainder was 0 would it not be y?

- anonymous

it would be y

- zzr0ck3r

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

how is it Y

- anonymous

?

- zzr0ck3r

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

- zzr0ck3r

notice*

- anonymous

Where is the 16 coming from

- zzr0ck3r

just an example.

- anonymous

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

- zzr0ck3r

i think @KingGeorge is prob doing that.

- KingGeorge

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

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

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

- KingGeorge

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

what if i wanna know the 1000th letter of Tuesday

- zzr0ck3r

1000/7
remainder is what?

- anonymous

142

- zzr0ck3r

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

- anonymous

142.8571429

- KingGeorge

"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

we want remainder not dec

- KingGeorge

\[1000=7\cdot142+r\]\[1000=994+r\]Can you tell me what \(r\) is?

- anonymous

idk

- KingGeorge

\[1000-994=994-994+r\]Does this help?

- zzr0ck3r

1000- 142*7 = r

- zzr0ck3r

and we will have the rth letter

- anonymous

Okay thanks

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