Question

Write the first five terms of the geometric sequence in which a1=8 and the common ratio is -1/2.

Answer 1

First five terms are:

8 , (-4) , 2 , (-1) , (1/2)

Explanation:

`a_(1)=8 \\\\r = (-1)/(2)\\\\a_(2)=(-1)/(2)*a_(1)= (-1)/(2)*8= -4\\\\a_(3)=(-1)/(2)*a_(2)=(-1)/(2)*-4=2\\\\a_(4)=(-1)/(2)*a_(3)=(-1)/(2)*2=-1\\\\a_(5)=(-1)/(2)*a_(4)=(-1)/(2)*-1=(1)/(2)`