1.

If \[{{S}_{1}},\ {{S}_{2}},\ {{S}_{3}},...........{{S}_{m}}\] are the sums of \[n\] terms of \[m\] A.P.'s whose first terms are \[1,\ 2,\ 3,\ ...............,m\] and common differences are \[1,\ 3,\ 5,\ ...........2m-1\] respectively, then \[{{S}_{1}}+{{S}_{2}}+{{S}_{3}}+.......{{S}_{m}}=\]

A. \[\frac{1}{2}mn(mn+1)\]
B. \[mn(m+1)\]
C. \[\frac{1}{4}mn(mn-1)\]
D. None of the above
Answer» B. \[mn(m+1)\]


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