SOLUTION: The first three terms of the finite sequence 1, 1/x, 2, y form an arithmetic sequence, while the last three terms form a geometric sequence find the values of x and y.

Question 1167377: The first three terms of the finite sequence 1, 1/x, 2, y form an arithmetic sequence, while the last three terms form a geometric sequence find the values of x and y.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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Then the term    is the arithmetic mean of its neighbors


     =  = ,   so  x = .



Hence, the terms  , 2 and y form a geometric progression.


Then the ratio of this progression is   =   and  y =  = .


ANSWER.  x= ,  y= .

Solved.

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