Brain Teasers
0-1-1-2-10-_____-100903245677250689568
What 5-digit number completes the series:
0-1-1-2-10-_____-100903245677250689568
0-1-1-2-10-_____-100903245677250689568
Hint
There is not a universally agreed definition of 0^0 (zero raised to the 0 power). This series relies on the most common definition:0^0 = 1
Without this definition the series can't start with zero. Starting the series with 1 yields:
1-1-2-6-226-2608759082
for the first six terms. The 7th term in this case has 48 digits starting with a 1 and ending with an 8.
Answer
10018The first term 0 is arbitrary. If the terms are numbered starting at 1, then the nth term is the sum of each of the previous n-1 terms raised to the n-2 power.
0 = 0
1 = 0^0
1 = 0^1 + 1^1
2 = 0^2 + 1^2 + 1^2
10 = 0^3 + 1^3 + 1^3 + 2^3
10018 = 0^4 + 1^4 + 1^4 + 2^4 + 10^4
Hide Hint Show Hint Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments
Good one - thanks for a challenge. I almost had it - and then the clue helped me finish.
I don't know why this is rated so low. I think many on this site prefer to see things really dumbed down. It's good to have some harder ones - Braingle could use more like this. Thanks; good job.
I don't know why this is rated so low. I think many on this site prefer to see things really dumbed down. It's good to have some harder ones - Braingle could use more like this. Thanks; good job.
I think there are many people on site looking for a challenge such as this. I wouldn't even consider the popularity score as challenging math problems generally rate low here. Keep up the good work!
me>
I figured it out without the hint!
Yeah, I don't get the low fun rating. This was much more enjoyable than a lot of the stupidly-easy teasers that get 3+ fun ratings.
Keep up the good work!
Yeah, I don't get the low fun rating. This was much more enjoyable than a lot of the stupidly-easy teasers that get 3+ fun ratings.
Keep up the good work!
The most likely reason it gets a low score is that, without the hint, there is absolutely no leads to which one can effective solve the puzzle. This is the reason why I gave it a low entertainment rating.
To post a comment, please create an account and sign in.
Follow Braingle!