The explicit rule for a sequence is
an=48−11n .
what is the recursive rule for the sequence?
an=an−1+37,a1=11
an=an−1−11,a1=37
an=an+1−11,a1=37
an=an−1−37,a1=11

For an explicit formula in its simplified form, we must evaluate the first two terms.

For , , and . We see that the common difference is , and , so we write,
. 

The correct answer is B.

The rule should be a(n)=a(1)+(n-1)d
d=-11 in this case, so a(n)=a(1)-11(n-1)
a(n)=a(1)-11n+11
a(n)=a(1)+11-11n
a(1)+11=48, 
a(1)=37
B is the correct answer.