Answer:
function would look like (30n-44)/7 diescribing the sequence where n is the term of the number. For example : -2 is first term so its n =1.
Step-by-step explanation:
a= -2( a= first term)
using formula,
n=8
now,
-32 = a+(n-1)d
-32 = -2 +(8-1)d
or, -32 = -2 + 7d
or, -32+2 = 7d
or, -30 = 7d
so, d = -30/7
d = common difference
now
f(x) = a+(n-1)d
= -2+(n-1)30/7
= -2 + (30n-30)/7
= (-14+30n-30)/7
so, f(x) = (30n-44)/7