Sequences and Series

Arithmetic Sequence

Each term = previous + d

  • High school
  • about 3 min
  • 1 of 10 in the family
Not started
2a15a28a311a414a517a620a723a8+3
a₁ = 2
Common difference d = 3
n = 8
an=a1+(n−1)d=2+(n−1)⋅3a_n = a_1 + (n-1)d = 2 + (n-1)\cdot 3

a8 = 23

Arithmetic sequence: each term is a constant d more than the previous. Graphically: evenly rising (or falling) bars.