rachelbramlett
17

# The first term of a geometric sequence is –2 and the common -1/4. What are the next three terms of the sequence?

$a_1=-2\\ a_2=-2\cdot\left(-\dfrac{1}{4}\right)=\dfrac{1}{2}\\ a_3=-2\cdot\left(-\dfrac{1}{4}\right)^2=-\dfrac{1}{8}\\ a_4=-2\cdot\left(-\dfrac{1}{4}\right)^3=\dfrac{1}{32}$