The numbers \( a, b \), and \( c \) are between 2 and 18, such that (i) their sum is 25 (ii) the...

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The numbers \( a, b \), and \( c \) are between 2 and 18, such that
(i) their sum is 25
(ii) the numbers \( 2, a \), and \( b \) are consecutive terms of an A.P.
(iii) the numbers \( b, c, 18 \) are consecutive terms of a G.P.
If \( a, b \), and \( c \) are roots of the equation \( x^{3}+q x^{2}+r x+s=0 \) then the value of \( r \) is
(1) 184
(2) 196
(3) 224
(4) none of these
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