A) 1 : 2 : 3
B) 1 : 2 : 4
C) 1 : 3 : 5
D) 1 : 4 : 9
Correct Answer: D
Solution :
\[S=ut+\frac{1}{2}a{{t}^{2}}\] \[\Rightarrow \] \[S\propto {{t}^{2}}(\because a=k,u=0)\] \[{{S}_{1}}:{{S}_{2}}:{{S}_{3}}:\,\,\,............\] \[{{S}_{n}}={{1}^{2}}:{{2}^{2}}:{{3}^{2}}:\,\,\,.............\,{{n}^{2}}\] \[=1:4:9\,\,\,.............\,{{n}^{2}}\]
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