Question

Find the 5th term of 8/9 ,-4/3 ,2​

Answer 1

Answer:

$\frac{9}{2}$

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = $\frac{-\frac{4}{3} }{\frac{8}{9} }$ = $\frac{2}{-\frac{4}{3} }$ = - $\frac{3}{2}$

This indicates the sequence is geometric.

To obtain the next term multiply the previous term by r, that is

a₄ = 2× - $\frac{3}{2}$ = - 3

a₅ = - 3 × - $\frac{3}{2}$ = $\frac{9}{2}$