Question

Identify the 16th term of a geometric sequence where a1 = 4 and a8 = -8,748.

Answer 1

a1 = 4
a2 = 4r
a3 = 4r^2
a4 = 4r^3
...
a8 = 4r^7 = -8748

Can you find r? Do you need to find r?

a9 = 4r^8
...
a16 = 4r^15

Okay, maybe you need to find r. The 17th term would have been easier.

Answer 2

so im confused in what to do next @tkhunny

Answer 3

Hmmm... Five hours and no where?

a1 = 4
a8 = 4r^7 = -8748

So, r^7 = -2,187

And, t = -2,187^(1/7) = -3

One more thing.