Write the explicit rule for the arithmetic sequence a1=27 and an=(an−1)+4 ? this is the recursive rule. an=4n+27 an=4n+23 an=23n+4 an=27n+4

Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n

an=23+4n

-20 yards

Step-by-step explanation:

Given : Bobby’s football team received four five-yard penalties in the first quarter.

i.e. Number of five-yard penalties in the first quarter =4

It meant his team lost yardage in their progress toward the goal line.

Then, the  change in their progression down the field as a result of these penalties :

Hence, the  change in their progression down the field as a result of these penalties = -20 yards