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A Numeral Sequence Problem (Posted on 2006-11-07) |
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Change the position of only one number in the sequence given below in order that the amended sequence corresponds to a palindromic sequence.
1, 4, 9, 6, 2, 1, 5, 10, 4
*** Source: Adapted from a problem which appeared in Mensa Canada Website.
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Submitted by K Sengupta
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Rating: 4.5000 (4 votes)
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Solution:
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(Hide)
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We shift the number 2 to the last position, giving the sequence: 1, 4, 9, 6, 1, 5, 10, 4, 2
When each term of the amended sequence is converted to Roman Numerals; without commas it reads as:
IIVIXVIIVXIVII.
The above sequence is clearly palindromic as sought for in the problem.
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A different solution is given by tomarken in this location
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