Question

A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6)?

Answer 1

let n be 1 for now
f(1+1)=f(1)-8

hmmm 1+1=2
so we have

f(2)=f(1)-8

hmm f(1) is given as 100


f(2)=100-8=92

f(2)=92

see if you can find f(3) now

Answer 2

you will have to do this a few more times because to find f(6) we need to know f(5)
and the find f(5) we need to know f(4)
and to find f(4) we need to know f(3)

Answer 3

so noticed i replace n with 1 in the beginnning
replace n's with 2 instead
then keep one upping it

Answer 4

like this
replace n with 2
f(2+1)=f(2)-8

this will give
you
f(3)=f(2)-8 which I think you can find now