# How do you find the next two terms of the geometric sequence 1.4, -3.5, 8.75,...?

Oct 13, 2016

Next two terms are $- 21.875$ and $54.6875$

#### Explanation:

It is a Geometric sequence, whose first three terms are

$\left\{1.4 , - 3.5 , 8.75\right\}$

Hence $r = - \frac{3.5}{1.4} = - \frac{5}{2} = - 2.5$

Further $- 3.5 \times - 2.5 = 8.75$, which is third term

Hence, next two terms are

$8.75 \times - 2.5 = - 21.875$

and $- 21.875 \times - 2.5 = 54.6875$