Adding up the Terms of a Sequence (HSC SSCE Mathematics Advanced): Flashcards

Sum of first $n$ terms of a sequence

$S_n = T_1 + T_2 + T_3 + \ldots + T_n$

Partial sum or $n$th partial sum

$T_1 = S_1$

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

Sum (Greek capital sigma)

Starting value (bottom) and ending value (top)

Sequence of partial sums of a sequence

$n^2 - 2n + 1$, not $n^2 - 1$

$T_a + T_{a+1} + T_{a+2} + \ldots + T_b$