A recursive formula for an arithmetic sequence is:
a(n)=a(n-1)+d, where n=term number and d=common difference.
Since we are told that d=6:
a(n)=a(n-1)+6, a1=8
They may want:
f(n)=f(n-1)+6, a1=8
I never understood why they teach this instead of explicit formulas because the above is pretty useless if you simply want say the 1031st term, you would need to do a lot of calculations to find it. :P. The explicit function is:
a(n)=a+d(n-1), here a=8 and d=6 so
a(n)=8+6(n-1)
a(1031)=8+6(1031-1)=6188
Try finding the 1031st term with the recursive formula :D
