If \( S_{1}, S_{2}, S_{3}, \ldots \ldots ., S_{p} \) are the sums of first \( n \) terms of \( p....

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If \( S_{1}, S_{2}, S_{3}, \ldots \ldots ., S_{p} \) are the sums of first \( n \) terms of \( p \)
P
arithmetic progressions whose first terms are \( 1,2,3 \),
W.
.... \( p \) and whose common differences are \( 1,3,5,7, \ldots \). , then the value of \( S_{1}+S_{2}+S_{3}+\ldots \ldots+S_{p} \) is
(1) \( n p(n p+1) / 2 \)
(2) \( n p(n p-1) / 2 \)
(3) \( (n p-1)(n p+1) / 2 \)
(4) \( n(n p+1) \)


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