Question

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

134,217,728
33,554,432
-33,554,432
-134,217,728

Answer 1

If a1 = first term of a GP, then, nth term of the GP would be:

\[\large{a_n = a_1 r^{n-1}}\]

Here, r = common ratio

Answer 2

Now as @eric_d mentioned,

\[\large{a_6 = a_1 r^{6-1} = a_1 r^5}\]

Now, you know the value of a_6 and a_1

Using these values find out r.

Answer 3

The 12th term would be:

\[\large{a_{12} = a_{1} r^{11}}\]

You know a_1. Using the value of r you calculated above, find out a_12

Answer 4

oh okay give meh a sec.. :)

Answer 5

Sure

Answer 6

ok I got the 3rd option

Answer 7

Correct

Answer 8

Good work :)

Answer 9

yay! thank you! :)

Answer 10

Your welcome :)