Question

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

Answer 1

the geometric sequence would be as follows: a, ar, ar^2 ,ar^3 , ar^4, ar^5 and so on.
so a=8 as shown by a1. a6 = ar^5 , so -8192 = 8 * r^5 , hence you can find r which is -4

As you can see in the sequence above, for the nth term of the sequence, it would be
ar^n-1

So, for the 12 term ----> ar^(11-1) = ar^10 , hence it would be 8 * (-4)^10
which would give you 8388608

Answer 2

no thats not it here are the different choices

Answer 3

a. 134,217,728
b. 33,554,432
c. -33,554,432
d. -134,217,728

Answer 4

sorry i messed up in the numbers : it would be ar^11 which is -33554432 :)

Answer 5

thanks