Four positive numbers are listed in ascending order ( )

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Four positive numbers

5,\,x,\,y,\,80

are listed in ascending order (

5 < 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

x

? (a)

\dfrac{15+10\sqrt6}{2}

(b)

30

(c)

\dfrac{25+10\sqrt6}{2}

(d)

15