GP members

The geometric sequence has ten members. The last two members are 2 and -1. Which member is -1/16?

Correct answer:

x =  14

Step-by-step explanation:

a9=2 a10=1  q=a10/a9=(1)/2=21=0.5  a(n) = a1 q(n1)  a8=a9/q=2/(0.5)=4  a11=q a10=(0.5) (1)=21=0.5 a12=q a11=(0.5) 0.5=41=0.25 a13=q a12=(0.5) (0.25)=81=0.125 a14=q a13=(0.5) 0.125=161=0.0625  x=14 x>10 ??

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