If x ,4, y are successive terms in arithmetic sequence and x, 3 ,y are successive terms in geometric sequence. Calculate 1/x +1/y.
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Given If x ,4, y are successive terms in arithmetic sequence and x, 3 ,y are successive terms in geometric sequence. Calculate 1/x +1/y.
- According to property of A.P t he middle number is doubled hence we can write as
- So x + y = 4 x 2
- Or x + y = 8
- Now x,3,y are in G.P. So
- 3 = √xy
- Or xy = 9
- Now we need to find 1/x + 1/y
- = x + y / xy
- = 8 / 9
Reference link will be
https://brainly.in/question/15373504
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