Mathematics

Mathematics

Problem

Four positive numbers 5, x, y, 805,\,x,\,y,\,80 are listed in ascending order (5<x<y<805 < x < y < 80). The first three numbers are in arithmetic progression while the last three are in geometric progression. Which of the following is the value of xx? a) 15+1062\dfrac{15+10\sqrt6}{2} b) 3030 c) 25+1062\dfrac{25+10\sqrt6}{2} d) 1515

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