Sum of Sums

Algebra Level 3

S1 = 1 + 2 + 3 + ....... nth term

S2 = 2 + 5 + 8 + ..... nth term

S3 = 3 + 8 + 11 + ..... nth term

................................

SQ = Q + (Q + 2Q -1) + (Q + 4Q - 2) ..... nth term

Find S1 +S2 + S3 + S4 ........ + S(Q-1) + SQ in terms of "Q" and "n".

NOTE:
1. S2 dosent mean "S Square" .... it means "S subscipt 2"

2." n" and "Q" are +VE Whole nos ( i tink its a bit obvious anyways)

n^2 (Q + 1)/2 nQ (n-1) (Q - 1) / 2nQ nQ (n +1) (Q + 1) / nQ Qn(Qn + 1)/2

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