🔢

Arithmetic Sequence

★★☆☆☆Middle School

📖Definition

A sequence where the difference between consecutive terms is constant.

aₙ = a₁ + (n-1)d

General term formula

Sₙ = (n(a₁ + aₙ))/(2) = (n(2a₁ + (n-1)d))/(2)

Sum of arithmetic sequence

예제 1★★☆☆☆

Find the 10th term of an arithmetic sequence with a₁ = 3, d = 4.

예제 2★★☆☆☆

Find the sum of natural numbers from 1 to 100.

Discovered by: Gauss

Famous story of young Gauss quickly computing the sum from 1 to 100.

Fixed deposits

Uniform acceleration

#algebra#sequence#arithmetic