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**christina** Find x and y, given that 1,x and y are in arithmetic sequence, and 1,y,x are in geometric sequence

Find the first three terms of a geometric sequence given that the sum of the first four terms is 21 2/3 and the sum to infinity is 27.

The three numbers a,b and c, whose sum is 15, are successive terms of a geometric sequence, and b, a and c are successive terms of an arithmetic sequence. Find the values of a, b and c

Thank you so much for help given on these questions