Answer:
t(1) = -3.5, Recursive equation is t(n) = t(n-1) + 4.5
Step-by-step explanation:
t(n)=4.5n-8
Let find the sequence
Plug in n=1,2,3,4.....
n=1 t(1)=4.5(1) -8= -3.5
n=2 t(2)=4.5(2) -8= 1
n=3 t(3)=4.5(3) -8= 5.5
n=4 t(4)=4.5(4) -8= 10
so sequence is -3.5, 1, 5.5, 10................
Now we find the common difference
1 - (-3.5) = 4.5
5.5-1 = 4.5
10 - 5.5 = 4.5
common difference d = 4.5
Formula for recursive function is
t(n) = t(n-1) + d
We got d= 4.5
t(n) = t(n-1) + 4.5 , also t(1) = -3.5
