Question

The first term of a geometric sequence is -2 and the commen ratio is negative one fourth what are the next three terms of the sequence

Answer 1

`a_1=-2\\r=-(1)/(4)\\-------------------\\\\a_(n)=a_(n-1)r\\\\a_2=a_1r\to a_2=-2\left(-(1)/(4)\right)=(1)/(2)\\\\a_3=a_2r\to a_3=\left((1)/(2)\right)\left(-(1)/(4)\right)=-(1)/(8)\\\\a_4=a_3r\to a_4=\left(-(1)/(8)\right)\left(-(1)/(4)\right)=(1)/(32)\\\\\boxed{Answer:\ (1)/(2),\ -(1)/(8),\ (1)/(32)}.`