Finite Arithmetic Series (Grade 12 NSC Matric Mathematics): Flashcards

Sequence with constant difference between consecutive terms

Sum of finite number of terms from arithmetic sequence

$T_n = a + (n - 1)d$

$S_n = \frac{n}{2}[2a + (n - 1)d]$

$S_n = \frac{n}{2}(a + l)$

Pair terms from opposite ends; each pair gives same sum

$T_n = S_n - S_{n-1}$

$d$

Sequence lists terms; series adds them

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