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| Point The Terms (Posted on 2008-07-31) |
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What are the next two terms of the following sequence?
8.9, 18.7, 25.88, 114.13, 127.244, 371.371, __, __
Note:
(i) The given sequence follows a relatively simple rule, and no complicated mathematical formulas are required to derive the missing terms.
(ii) The problem title provides a significant hint.
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Submitted by K Sengupta
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Rating: 3.3333 (3 votes)
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Solution:
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(Hide)
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The numbers appearing respectively to the right and the left of the decimal point of a given term are swapped and this number is added to the term to obtain the next term.
For example, the number obtained by swapping the numbers appearing to the left and the right of the decimal point in 18.7 is 7.18, and (18.7 + 7.18) = 25.88, which is the next term.
Thus, the 4th term = 25.88 + 88.25 = 114.13, and so on.
Consequently, 7th term is: 371.371 + 371.371 = 742.742, and:
The 8th term is : 742.742 + 742.742 = 1485.484.
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