Higher mathematics
Sequences and series
Arithmetic and geometric sequences and sums.
Higher mathematics
Arithmetic sequence nth term
aₙ = a₁ + (n−1)d→Higher mathematicsArithmetic series sum
Sₙ = n(2a₁+(n−1)d)/2→Higher mathematicsGeometric sequence nth term
bₙ = b₁qⁿ⁻¹→Higher mathematicsGeometric series sum
Sₙ = b₁(qⁿ−1)/(q−1)→Higher mathematicsInfinite geometric series
S = b₁ / (1−q), |q| < 1→Higher mathematicsCompound growth sequence
Aₙ = A₀(1+r)ⁿ→Higher mathematicsOne-sided expression series
Σ(n=n₀…n₀+N−1) aₙ→Higher mathematicsTwo-sided expression series
Σ(n=n₀−N…n₀+N) aₙ→