Given the recursive formula for the arithmetic sequence a1=−5
, an=an−1+4
, find the first three terms of the sequence.(2 points)
a1=
, a2=
, and a3=
To find the first three terms of the sequence, we can use the recursive formula.
a1 = -5
To find a2, we substitute n = 2 into the recursive formula:
a2 = a2-1 + 4
a2 = a1 + 4
a2 = -5 + 4
a2 = -1
To find a3, we substitute n = 3 into the recursive formula:
a3 = a3-1 + 4
a3 = a2 + 4
a3 = -1 + 4
a3 = 3
So, the first three terms of the sequence are:
a1 = -5
a2 = -1
a3 = 3