Answer:
answers are below
Step-by-step explanation:
i don't know if you need an explicit or recursive rule so i'll include them both.
Given Info:
Sequence: 8, 17, 26,...
f(1) = 8
Find the common difference (d)
17 - 8 = 9
26 - 17 = 9
=> Common difference (d) = 9
Explicit rule: f(n) = f(1) + d(n-1)
=> f(n) = 8 + 9(n-1)
Recursive rule: f(n) = f(n-1) + d
=> f(n) = f(n-1) + 9
FINAL ANSWERS:
The explicit rule is: f(n) = 8 + 9(n-1)
The recursive rule is: f(1) = 8; f(n) = f(n-1) + 9
hope this helps and is right :)
