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Sensible Sequence (Posted on 2003-07-15) Difficulty: 3 of 5
In the following sequence, consisting of positive integers, the first term is a one digit number.

?, ? , 65, 61, 37, 58, 89, 145, ...

A) What is the first term?

B) What is the next term that is a one digit number?

  Submitted by Gamer    
Rating: 3.5000 (6 votes)
Solution: (Hide)
The whole sequence is 9, 81, 65, 61, 37, 58, 89, 145, 42, 20, 4, ...

The sequence is found by taking the square of each digit, and adding them together. 4 squared is 16, 1 squared is 1, 6 squared is 36, added together they are 37.

So, the number the sequence starts out with is 9.

The next single digit number in the sequence is the eleventh term, which is 4.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionsolutionDej Mar2008-11-05 09:10:09
SolutionFULL SOLUTION (ALTERNATIVE METHOD)K Sengupta2005-11-19 00:14:52
alternative solutionkris2005-11-13 13:32:49
SolutionsolutionBry2003-09-23 20:27:18
Some ThoughtsPhenomenonCharlie2003-07-15 09:35:21
Solutionsolutionderek2003-07-15 08:24:11
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