What is the 185th digit in the following pattern 12345678910111213141516.... (A ) 0 (B) 5 (C) 7 (D) 8 (E) 9
A is 0
Can you see what the pattern is?
yes
Then what's troubling you?
everything
Tell me what the pattern is, lol.
it is counting up with by 1s
Lol relax relax this is simple you could do it :)
did you try writing out the rest of the digits.?
nope
Then do it. -.-
OHHHHHHHHH ok
Thats a slow method though
The first 9 numbers have 1 digit the next more than enough have 2 digits each
it will take 5 minutes
oh, I thought that every digit is a separate term in the sequence.... then: \(\large\color{blue}{d=1}\) and \(\large\color{blue}{a_1=1}\)
but a_10=1 so d isnt really 1
ok, but what would you do if they asked for the 8726394920123 th digit dtan?
I got it is 7
i would get a lot of paper ready
nope, just logic
haha, or you could sum it up in a inch long formula
wait, so I initially thought correctly, then. it is, \(\large\color{black}{ 1,2,3,4,5,6,7,8,9,1,0,1,1,1,2,1,3,1,4,1,5,1,6 }\)
just counting up 11 12 13 14 15 16
there are how many 1 digit numbers, then how many 2 digit numbers, etc
^right
1...10 = 11 numbers 11...20 =20 numbers start from1 21....30= 20 numbers. start from2 and so on... if you stop at "start from 8, you have 171th number, now just count your finger to get 185 th number.
there are 9 one digit numbers there are 100 - 10 + 1 two digit numbers
no, I am thinking it is: \(\large\color{black}{ 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 }\) and you need the 185th digit (not term but digit). so firstly you need to find where will the 185th digit be: 1) first 9 terms = 9 digits 2) + second 9 terms = 9 digits + 90 99 digits so far: we need 86 more digits each term goes by 2 digits, so this is 43 more term.
So, it is going to be: the last digit of the \(\large\color{black}{ (9+9+43)th }\) term
last digit of \(\large\color{black}{ 61st }\) term
There are 9 one-digit numbers So that leaves 185 - 9 = 176 digits left over. Divide by 2 to get: 176/2 = 88 So there are enough digits to form 88 two-digit numbers. If you add 88 to 10, you get 10+88 = 98. However, going from 10 to 98 yields 89 numbers (98-10+1 = 89). To fix this, we just take a step back and land on 97 instead.
yeah, we all have different interpretations of the question...
From 1 to 9 ---> 9 digits 185 − 9 = 176 We need 176th digit after the first 9 This will be 2nd digit of 88th number after 9 i.e. 2nd digit of 87 185th digit = 7
there are no parentheses in the original expression above, so I separated each digit by a comma
my interpretation is not any of the options, (because 1 is not a choice) so i guess I was wrong....
here is a nice table for the list of digits from 1 to very large number http://oeis.org/A033307/b033307.txt
note that the list starts at n=0, instead of n=1. so the 184th entry is going to be the 185th digit in the original question
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