## saifkhansk Group Title How can you find the 1000 letter in " Thursday " ? one year ago one year ago

• This Question is Open
1. yummydum Group Title

umm...what?

2. saifkhansk Group Title

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

3. zzr0ck3r Group Title

1000/8 what is the remainder?

4. saifkhansk Group Title

125

5. Doman Group Title

it shoulld be less than 8

6. saifkhansk Group Title

no 1000/8 equals 125

7. lgbasallote Group Title

the remainder should be less than 8*

8. Doman Group Title

remainder is zero

9. zzr0ck3r Group Title

if the remainder was 0 would it not be y?

10. Doman Group Title

it would be y

11. zzr0ck3r Group Title

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

12. saifkhansk Group Title

how is it Y

13. saifkhansk Group Title

?

14. zzr0ck3r Group Title

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

15. zzr0ck3r Group Title

notice*

16. saifkhansk Group Title

Where is the 16 coming from

17. zzr0ck3r Group Title

just an example.

18. saifkhansk Group Title

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

19. zzr0ck3r Group Title

i think @KingGeorge is prob doing that.

20. KingGeorge Group Title

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."

21. KingGeorge Group Title

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.

22. saifkhansk Group Title

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

23. KingGeorge Group Title

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.

24. saifkhansk Group Title

what if i wanna know the 1000th letter of Tuesday

25. zzr0ck3r Group Title

1000/7 remainder is what?

26. saifkhansk Group Title

142

27. zzr0ck3r Group Title

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

28. saifkhansk Group Title

142.8571429

29. KingGeorge Group Title

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

30. zzr0ck3r Group Title

we want remainder not dec

31. KingGeorge Group Title

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

32. saifkhansk Group Title

idk

33. KingGeorge Group Title

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

34. zzr0ck3r Group Title

1000- 142*7 = r

35. zzr0ck3r Group Title

and we will have the rth letter

36. saifkhansk Group Title

Okay thanks