We are given this explicit formula :
[tex] c(n) = -6 + 5(n - 1) [/tex]
In order to find eighth term let us plug n as 8 in this formula:
[tex] c(8) = -6 + 5(8 - 1) [/tex]
subtracting 8-1 first using pemdas rule
[tex] c(8) = -6 + 5(7) [/tex]
multiplying 5 and 7
[tex] c(8) = -6 + 35 [/tex]
subtracting 35-6
c(8) = 29
So eighth term is 29.