Arithmetic Sequence

an=a1+(n1)da_n = a_1 + (n-1)d

Description

Finds the nth term of an arithmetic sequence.

Variables

Symbol Meaning
aₙ nth term
a₁ First term
n Term number
d Common difference

Example

Problem

Find 10th term if a₁=5, d=3

Solution

a₁₀ = 5 + (10-1)×3 = 32

Real-World Applications

  • Finance
  • Scheduling
  • Pattern analysis