7(picture) convergent and divergent series

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

probably .5

i can on others if necessary.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2