# fun series

• May 15th 2009, 10:25 PM
brainteaser
fun series
Complete the last term of the series:

1)1, 6, 1, 8, 0, 3, 3, 9, 8,...
2)31, 41, 59, 26, 53, 58,...
3)0, 6, 21, 81, 42, 03,...
4)1, 8, 11, 80, 81,...
5)0, 1, 1, 2, 1, 3, 1, 3, 2, 3, 1,...
6)1476, 168, 48, 32, 6,...
7)1, 2, 3, 6, 9, 54, 63, 3402,...
8)291, 482, 864, 628, 246,...
9)1, 2, 2, 4, 2, 4, 2, 4, 6,...
10)1, 1, 2, 4, 8, 16, 23, 28, 38, 49,...
11)2, 2, 4, 4, 2, 6, 6, 2, 8, 8,...
12)0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3,...
13)1/1, 2/3, 3/4, 4/7, 5/6, 6/12, 7/8,...
14)141, 421, 356, 237, 309,...
15)0, 1, 8, 11, 69, 88, 96, 101,...
16)31, 28, 31, 30, 31, 30, 31,...
17)0, 1, 4, 6, 8, 9, 10, 12,...
• May 16th 2009, 01:29 AM
The On-Line Encyclopedia of Integer Sequences

put every sequence there...
• May 16th 2009, 04:35 AM
brainteaser
I'm sorry, I didn't knew of the existence of that site. However, there are some series that aren't there:

1)0, 6, 21, 81, 42, 03,...
2)1, 8, 11, 80, 81,...
3)1476, 168, 48, 32, 6,...
4)291, 482, 864, 628, 246,...
5)141, 421, 356, 237, 309,...
• May 16th 2009, 08:55 AM
pepearg2009
Send me an e-mail to pepearg2009@hotmail.es
And I may give you some answers (in exchange of anothers, we both know what we are talking about)
• June 13th 2009, 09:00 AM
pomp
1) Write the sequence backwards and group into pairs (except the last two) you end up with
30,24,18,12,6,0. So the number which completes the original sequence is 36
2) Increasing sequence of numbers beginning with vowels
3) Products of digits.
4) Double. If the result is less than 1000, take away 100, if it is greater than 1000, take away 1100.
5) Decimal expansion of root 2
• June 13th 2009, 09:28 AM
Soroban
Hello, brainteaser!

Quote:

1) 1, 6, 1, 8, 0, 3, 3, 9, 8, ...
Digits of $\phi$, the Golden Mean.
. . Next number: .9

Quote:

15) 0, 1, 8, 11, 69, 88, 96, 101, ...
Numbers that remain the same when rotated 180°.
. . Next number: .111

[The last invertible year was 1961 . . . The next is 6009.]