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  • 16-01-2019
  • Mathematics
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7 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

7 Picture CONVERGENT AND DIVERGENT SERIES PLEASE HELP class=

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Professor1994 Professor1994
  • 16-01-2019

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

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