The 4th term of the sequence is -38
Given the following recursive function [tex]a_n=-2a_{n-1}-2[/tex] and, [tex]a_1=4[/tex], we need to get the fourth term of the sequence:
For the second term:
a2 = -2a1 - 2
a2 = -2(4) - 2
a2 = -8 - 2
a2 = -10
For the third term:
a3 = -2a2 - 2
a3 = -2(-10) - 2
a3 = 20 - 2
a3 = 18
For the fourth term:
a4 = -2a3 - 2
a4 = -2(18) - 2
a4 = -36 - 2
a4 = -38
Hence the 4th term of the sequence is -38
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