The Student Room Group
Uni students - Complete our survey >>
Uni students - Complete our survey >>
Uni students - Complete our survey >>

maths helpp

29.PNG
so was just messing around and funnily enough got the correct answer
so the sequence is 4,2,8,5,7,1
2017/6 = 336.166..
0.166..x 6 = 1
so 2017th digit is 4
but tbh didn't rlly understand what i was doing - just felt that it was the right thing to do lol
can somebody help me with this thanks?
As you've discovered, the decimal expansion of 3/7 repeats with a period of 6:

0. 428571 428571 428571 428571 ...

So the 1st digit is the same as the 7th and the 13th etc. In general you can throw away multiples of 6 so we just need to know 2017 modulo 6 = 1 so the digit is 4.
(edited 5 years ago)
Reply 2
Avatar for Kalabamboo
Kalabamboo
OP
14
Original post by SerBronn
As you've discovered, the decimal expansion of 3/7 repeats with a period of 7:

0. 428571 428571 428571 428571 ...

So the 1st digit is the same as the 8th and the 15th etc. In general you can throw away multiples of 7 so we just need to know 2017 modulo 7 = 1 so the digit is 4.


Hey thanks but doesnt it repeat with a period of 6?
:dunce: Ooops that's embarrassing, yes of course it's period 6 not 7. So we need 2017 modulo 6 which is also 1 coincidentally. Sorry about that.

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you