GP members

The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?

Correct result:

x =  14

Solution:

a9=2 a10=−1  q=a10/a9=(−1)/2=−12=−0.5  a(n)=a1 q(n−1)  a8=a9/q=2/(−0.5)=−4  a11=q⋅ a10=(−0.5)⋅ (−1)=12=0.5 a12=q⋅ a11=(−0.5)⋅ 0.5=−14=−0.25 a13=q⋅ a12=(−0.5)⋅ (−0.25)=18=0.125 a14=q⋅ a13=(−0.5)⋅ 0.125=−116=−0.0625  x=14 x>10??

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