Question

Identify the 12th term of a geometric sequence where a1 = 8 and a6 = -8,192.

Answer 1

Medal will be given

Answer 2

\(a_n = a_1r^{n - 1} \)

Can you find r?

Answer 3

I dont know what it is going down by :(

Answer 4

I gave you above the general formula for the nth term of a geometric sequence.

Here it is again.

\( \LARGE a_n = a_1r^{n - 1}\)

Now let's substitute what you are given, and solve for r.

\( \LARGE a_6 = a_1r^{6 - 1}\)

\( \LARGE -8192 = 6r^{5}\)

Can you solve for r?

Answer 5

Wait. a1 = 8, not 6.

Answer 6

I got -33,554,432 as my answer....

Answer 7

Solve this for r.

\(\LARGE -8192 = 8r^{5}\)

Answer 8

Correct.

Answer 9

Thank you!

Answer 10

You're welcome.