d
a1
©Ms Garcia Math
Name:
ID:
Quiz:
Grade:
Recursive Formula
?
SE10
Example: Find the formula for the nth term of an arithmetic sequence, whose first term is 5 and whose common difference is 3.
a
n = a₁+(n-1)d
a
n = 5 +(n-1)3
a
n = 5 + 3n -3
a
₁=5, n=3
a
n = 2 + 3n
Recursive Formula an = a₁+(n-1)d =
(a₁ - d) + nd
a
n
1)
a
₁ =
d =
a
ɴ =
2)
a
₁ =
d =
a
ɴ =
3)
a
₁ =
d =
a
ɴ =
4)
a
₁ =
d =
a
ɴ =
5)
a
₁ =
d =
a
ɴ =