Answer: -2, 2, 6, 10, 14
It is an Arithmetic sequence.
Step-by-step explanation:
Given Recursive formula : [tex]A(n + 1) = A(n) + 4[/tex] , for n ≥ 1 and A(1) = -2.
[tex]A(2)=A(1 + 1) = A(1) + 4=-2+4=2[/tex]
[tex]A(3)=A(2 + 1) = A(2) + 4=2+4=6[/tex]
[tex]A(4)=A(3 + 1) = A(3) + 4=6+4=10[/tex]
[tex]A(5)=A(4 + 1) = A(4) + 4=10+4=14[/tex]
Hence, the five terms of given sequence= -2, 2, 6, 10, 14
Since, there is common difference of 4 in two consecutive terms.
Therefore, it is an Arithmetic sequence.
