Find a4 in the geometric series in which s4=65 and the common ratio is r=2/3
will give brailiest for the right answer

a₄ = 8

Step-by-step explanation:

The sum to n terms of a geometric sequence is

=

where a is the first term and r the common ratio, thus

= = 65, that is

= 65

3a × = 65

= 65 ( multiply both sides by 81 )

195a = 5265 ( divide both sides by 195 )

a = 27

Hence

a₂ = 27 × = 18

a₃ = 18 × = 12

a₄ = 12 × = 8