Respuesta :

Answer:

an=13.5−2.5n

Step-by-step explanation:

To find the common difference

Take the end term and subtract the first term

8.5 -11 = -2.5

Take the third term and subtract the 3rd term to verify

6-8.5 = -2.5  check

The formula for an arithmetic sequence is

an = a1+d(n-1)

an = 11 -2.5(n-1)

Distribute

an = 11 -2.5n+2.5

Combine terms

an = 13.5 - 2.5n