Sure! Let's find the third, fourth, and fifth terms of the sequence.
Given:
a = 2
A2 = 4
an = (-1)^n an = -1 + an-2 for n > 3
To find the third term (a3), we use the formula:
a3 = -1 + a3-2
Substituting the values:
a3 = -1 + a1
a3 = -1 + 2
a3 = 1
Similarly, we can find the fourth term (a4):
a4 = -1 + a4-2
a4 = -1 + a2
a4 = -1 + 4
a4 = 3
And the fifth term (a5):
a5 = -1 + a5-2
a5 = -1 + a3
a5 = -1 + 1
a5 = 0
Therefore, the third term is 1, the fourth term is 3, and the fifth term is 0.