Oh My Password!! Oh My Money Gone!!
One day, your bank account is hijacked!! But fortunately the doer is so kind and he give you a chance to get your account back by giving you a series number like this :
1 , 2 , 5 , 11 , 22 , 40, 69....
and said that your new password is the
10th
number of the series, times the total
day
in September, modulo by the
year
of the last World Cup in Brazil!! Aaaah it makes you so confusing but you want your money back! So you're trying to figure your-new-password out a.s.a.p! what is your new password that has been hijacked???
The answer is 1398.
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1 solution
it is 2-levelled series number. if you write the 1st level difference it will be 1 , 3 , 6 , 11 , 18 , 29,.. and if you write the 2nd level difference it will be 2 , 3 , 5 , 7 , 11,.. and it will be prime sequences so then you get and solve it easily and you'll get 248 for the 10th. Then total day in september is 30 and the year of World Cup in Brazil is 2014 ! so in the end, the answer of this problem (your new bank account password lol :p) is :
(248 * 30) mod 2014 --> 7440 mod 2014 --> = 1398