0,
,
,
List the terms and the values for n:
n nth term
1 0
2
3
4
Notice that in the 2nd, 3rd and 4th terms, the numerator
is 1 less than the value of n, and the denominator is 2
more than the value of n.
That will also be the case with the first term if
we consider the 0 as
1
2
3
4
So the fifth term is
. Therefore, the rule is
nth term =
Edwin