Question 376960
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Hi,
geometric sequence  -8, 4, -2,...
Finding  the 7th term by listing out the first terms of the sequence:
  -8, 4, -2, 1, -1/2, 1/4, -1/8, ...
using a formula for finding the nth term of a geometric sequence
{{{a[n] = a[1]*r^(n-1)}}} where r is the common ratio.  In this ex: r = (-1/2)
{{{a[n] = -8*(-1/2)^(n-1)}}} 

geometric sequence  3, 6, 12, ...
Finding  the 10th term by listing out the first ten terms of the sequence:
3, 6, 12, 24, 48, 96, 192, 384, 768, 1536
using a formula for finding the nth term of a geometric sequence
{{{a[n] = a[1]*r^(n-1)}}} where r is the common ratio.  In this ex: r = 2
{{{a[n] = 3*(2)^(n-1)}}} 
CHECKING our Anwer
{{{a[10] = 3*(2)^(9) = 1536}}}