Explicación paso a paso:
S = n/2 (2a+(n−1)d) =
S = n/2.(2a + nd - d) =
S = (2an + n^2d - nd)/2
2S = 2an + n^2d - nd =
2an = 2S - n^2d + nd =
a = (2S - n^2d + nd )/2n =
a = S - nd/2 + d/2
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Explicación paso a paso:
S = n/2 (2a+(n−1)d) =
S = n/2.(2a + nd - d) =
S = (2an + n^2d - nd)/2
2S = 2an + n^2d - nd =
2an = 2S - n^2d + nd =
a = (2S - n^2d + nd )/2n =
a = S - nd/2 + d/2