Let S = N \0\. Define a relation R from S to R by : R = \(x, y) : e y = x e ( 25 ), x S, y R \. Then, the sum of all the elements in the range of R is equal to :
(4) 53
e y=x e 25 ⇒ y= ( 25 )x, x=0,1,2,
Range =1, 25, 425, — an infinite G.P. with a=1, r= 25
∴ Sum = a1-r= 13/5= 53
Answer: (4)
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