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Mean Sequence (Posted on 2007-05-23) Difficulty: 2 of 5
In the infinite sequence
a, b, (a + b)/2, (a + 3b)/4, . . .
each term after the second is the arithmetic mean of the two previous terms.

Find the limit of the sequence in terms of real numbers a and b.

No Solution Yet Submitted by Dennis    
Rating: 3.6667 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionNow I knowAdy TZIDON2007-05-23 20:22:25
SolutionRecurrence solutionFederico Kereki2007-05-23 12:14:52
SolutionSolutionK Sengupta2007-05-23 10:50:23
SolutionProofRobby Goetschalckx2007-05-23 10:44:45
re: spoilerCharlie2007-05-23 10:09:46
no proof but...Charlie2007-05-23 10:03:33
SolutionspoilerAdy TZIDON2007-05-23 09:26:29
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