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If in an A.P. Sn=n^2q\ a n d\ Sm=m^2q ,\...

If in an A.P. `S_n=n^2q\ a n d\ S_m=m^2q ,\ w h e r e\ S_r` denotes the sum of `r` terms of the A.P., then `S_q` equals
a.`(q^3)/2` b. `m n q` c. `q^3` d. `(m^2+n^2)q`

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`Sn​=qn^2`
`=>S1​=q` and `S2​=4q`
`=>T1​=q` and `T1​+T2​=4q`
`=>T1​=q` and `T2​=3q`
`Sq​=q/2​×[2q+(q−1)×2q]`
`=(q/2​×2q^2)=q^3.`
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