Arithmetic progression

$a, a + b, a + 2 b, a + 3 b, \dots$

$T_{n} = a + (n - 1) b$

$T_{n} - T_{n - 1} = b$

$S_{n} = \frac{n}{2} . [a + T_{n}]$

$S_{n} = \frac{n}{2} . [2 a + (n - 1) b]$

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