141k views
0 votes
7 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

7 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!-example-1
User Arifa Chan
by
4.3k points

1 Answer

1 vote

Answer:

Option a. convergent: A

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

User Pyves
by
4.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.