Question

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.

Answer 1

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

Answer 2

f(n) = -6.5n + 14.5

&

f(1) = 8, f(n+1) = f(n) - 6.5