Question

(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

Answer 1

Answer:

$\frac{2}{81}$

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence

r = $\frac{-\frac{2}{3} }{2}$ = $\frac{\frac{2}{9} }{-\frac{2}{3} }$ = $\frac{-\frac{2}{27} }{\frac{2}{9} }$ = - $\frac{1}{3}$

To find a term in the sequence multiply the previous term by - $\frac{1}{3}$ , then

a₅ = - $\frac{1}{3}$ × a₄ = - $\frac{1}{3}$ × - $\frac{2}{27}$ = $\frac{2}{81}$