Mathematics

Mathematics

Problem

In the formula Sn=n2[2a+(n−1)d]S_n = \dfrac{n}{2}[2a + (n - 1)d] for an arithmetic progression, what does the quantity inside the brackets [ 2a+(n−1)d ][\,2a + (n - 1)d\,] represent? a) Twice the nthn^{\text{th}} term b) Twice the first term c) The sum of the first and nthn^{\text{th}} terms d) The difference between the first and nthn^{\text{th}} terms

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