Answer:
Option a. convergent: A
Step-by-step explanation:
a0=3/2
a1=9/8
a2=27/32
a1/a0=(9/8)/(3/2)=(9/8)*(2/3)→a1/a0=3/4
a2/a1=(27/32)/(9/8)=(27/32)*(8/9)→a2/a1=3/4
r=a1/a0=a2/a1→r=3/4
The abosute value of r= !r! = !3/4! = 3/4 = 0.75<1, the series is convergent
Yes, 1/4 is bigger than 1/20
A rational number is any number that can be written as a/b