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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.)
re: got it | Comment 3 of 9 |
(In reply to got it by jesse)

This sounds good, if by "root" is meant "divisor" or number that divides exactly into the previous number.  Also, by "original number" you apparently mean the same as "current number", as in your example the next term after 100 starts the multiplication chain with 100, the "current number", rather than 10, the original number in the sequence.

The precedent works out well for rows 5 and 6, as:

64*2*4*8*16*32=2097152
and
36*3*9*2*6*18*4*12=10077696

However,
729*3*9*27*81*243=10460353203,

rather than the 14348907 shown as the next term after 729 in sequence 8.  Perhaps this is an error in the puzzle itself.


  Posted by Charlie on 2004-04-25 12:08:27
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