A) The sequence is -48, -35, -22, -9… This sequence appears to be increasing by 13 each time. So, the recursive formula can be written as:
a
n
=
a
n
−
1
+
13
an=an−1+13
where (a_{1} = -48).
B) The sequence is 4, 6, 9, 13.5… This sequence appears to be multiplied by 1.5 each time. So, the recursive formula can be written as:
a
n
=
a
n
−
1
×
1.5
an=an−1×1.5
where (a_{1} = 4).
C) The sequence is 1, 4, 9, 16, 25… This sequence appears to be the squares of natural numbers. So, the recursive formula can be written as:
