The table shows the predicted growth of a particular bacterium after various numbers of hours.
write an explicit formula for the sequence of the number of bacterium.
a) an=24n+1
b) an=24n
c) an=1/24n
d) an=n+24

According with the table:
n=1→a1=24
n=2→a2=48
n=3→a3=72
n=4→a4=96
n=5→a5=120

With the first option we would get:
a1=24(1)+1=24+1→a1=25 different to 24. The equation does not work

With the second option we would get:
a1=24(1)→a1=24. The equation works
a2=24(2)→a2=48. The equation works
a3=24(3)→a3=72. The equation works
a4=24(4)→a4=96. The equation works
a5=24(5)→a5=120. The equation works

With the third option we would get:
a1=(1/24)(1)(1*1)/24→a1=1/24 different to 24. The equation does not work

With the fourth option we would get:
a1=1+24→a1=25 different to 24. The equation does not work

Second Option: an=24n