Question

Please help me out please

Answer 1

Answer:

$\frac{8}{81}$

Step-by-step explanation:

Since the sequence is geometric there is a common ratio r between consecutive terms.

r = $\frac{1}{3}$ ÷ $\frac{1}{2}$

  = $\frac{1}{3}$ × $\frac{2}{1}$ = $\frac{2}{3}$

Multiplying $\frac{4}{27}$ by r gives the next term in the sequence

$\frac{4}{27}$ × $\frac{2}{3}$ = $\frac{8}{81}$