A sequence is defined recursively by using the equation f (n+1) = f (n) - 8. if f (1) = 100 what is f (6) ?

F (n+1) = f (n) - 8

f (1) = 100

try with n = 1

f (1+1) = f (1) - 8

f (2) = 100 - 8

f (2) = 92

try with n = 0

f (0+1) = f (0) - 8

f (1) = f (0) - 8

100 = f (0) - 8

100 + 8 = f (0) - 8 + 8

108 = f (0)

so we know that

f (0) = 108

f (1) = 100

f (2) = 92

the bigger function you have, you need to - 8

so

f (3) = 84

f (4) = 76

f (5) = 68

f (6) = 60

so f (6) = 60