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Find the Numbers missing (Posted on 2005-04-28) Difficulty: 3 of 5
__,__,__,48,100,180, 294,448,648,__,__,__,.......Find the three numbers before and after given numbers in the series.

See The Solution Submitted by Pemmadu Raghu Ramaiah    
Rating: 2.0000 (4 votes)

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Solution Solution by differences | Comment 2 of 18 |
Building a differences table produces:
 48  52 28 6
100  80 34 6
180 114 34 6
294 154 40 6
448 200 46 6
648 252 52 6
The fixed  third column (6) suggests the values come from a third degree polynomial. Extending the differences table in both directions gives 0, 4 and 18 as the initial values, and 900, 1210 and 1584 as the last.
  Posted by Old Original Oskar! on 2005-04-28 20:27:49
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