Question

determine 8th term in the geometric sequence whose first term is -10 and whose common ratio is 2

Answer 1

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number 

We are told that a=-10 and r=2 so:

a(8)=-10(2^7)

a(8)= -1280