All simulatorsClick to start animation
AlgebraArithmetic Progressions
Sum of an AP
Sₙ = n/2 [2a + (n−1)d] — check it against direct addition.
Controls
2
4
12
Live result
Last term
46
Sum Sₙ
288
Using n/2(a + l)
288
Arithmetic progression — terms growing by dLast term: 46
Both formulas agree — the second one is handy when the last term is known.
