Question

given the geometric sequence:

-880, -220, -55, ...

the next term in the sequence is

Explanation:

Find the common ratio

Using the Common Ratio knowledge point

$$ r = \frac{-220}{-880} = \frac{1}{4} = 0.25 $$

Calculate the next term

Using the Geometric Sequences knowledge point

$$ a_4 = a_3 \cdot r = -55 \cdot \frac{1}{4} = -\frac{55}{4} = -13.75 $$

Answer:

Given the geometric sequence:

\(-880, -220, -55, \dots\)

The next term in the sequence is <blank>\(-\frac{55}{4}\)</blank> (or <blank>\(-13.75\)</blank>).