Question

What is the 4th term of the geometric sequence?

1st: 4/9
2nd: 4/3,
3rd: 4
4th: . . . . .

Answer 1

4th: 12

Explanation:

`a_1=(4)/(9)\\\\a_2=(4)/(9)\cdot3=(4)/(3)\\\\a_3=(4)/(3)\cdot3=4\\\\a_4=4\cdot3=12\\\vdots\\\\a_n=(4)/(9)\cdot3^(n-1)`