Answer:
f(n)= -6.5n +14.5
f(1)= 8, f(n+1) = f(n) - 6.5
Step-by-step explanation:
the arithmetic sequence 8, 1.5, –5, –11.5 . . .
First term is 8
Now we find difference between the terms
1.5 - 8= -6.5
-5-1.5= -6.5
difference is -6.5
The formula is f(n)= a1 + (n-1)d
where a1 is the first term and d is the difference
f(n)= 8 + (n-1)(-6.5)
f(n)= 8 -6.5n+6.5
f(n)= -6.5n +14.5
To get recursive formula we use
f(n+1) = f(n)+ difference
f(1)= 8, f(n+1) = f(n) - 6.5
