Arithmetic Sequences (AQA A-Level Mathematics): Flashcards

Sequence with constant difference between consecutive terms

Constant difference between consecutive terms in arithmetic sequence

First term

Common difference

The nth term of the sequence

$a, a+d, a+2d, a+3d, \ldots$

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

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

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

Sum of terms in an arithmetic sequence