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Sequence Limit (Posted on 2013-09-24) Difficulty: 3 of 5
Consider this infinite sequence:

          a, b, c, (a+b+c)/3, (a+4b+4c)/9, (4a+7b+16c)/27 .....

where, each of a, b and c is a real number and, each term after the third is the arithmetic mean of the three previous terms.

Determine the limit of the sequence in terms a, b and c.

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Easier heuristic Comment 2 of 2 |
Just use data sets

  Posted by Steve Herman on 2013-09-28 10:21:37
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