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10 Sequences (Posted on 2004-04-23) Difficulty: 3 of 5
Fill in the blanks. All the sequences below follow the same pattern.

1.) 0
2.) 1, 1, 1, 1, 1, 1, 1, 1...
3.) 2, 2, 2, 2, 2, 2, 2, 2...
4.) 5, 5, 5, 5, 5, 5, 5, 5...
5.) 4, 8, 64, 2097152 ...
6.) 6, 36, 10077696 ...
7.) 7, 7, 7, 7, 7, 7, 7, 7...
8.) 9, 27, 729, 14348907 ...
9.) 10, 100, ____, ....
10.) 11, ____ ....

No Solution Yet Submitted by Victor Zapana    
Rating: 3.5556 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 8 of 9 |
P(n+1) = product of all positive divisors of n.
So, P(n+1)=n^{d(n)/2} where d(n): no. of divisors of n.
So, the numbers in the blanks are 10^9=1000000000 and
11


  Posted by Praneeth on 2008-02-21 03:14:22
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