Question

List the first four terms of a geometric sequence with t
1
= 4 and t
n
= -3t
n-1
.
4) Find the sixth term of a geometric sequence with t
5
= 24 and t
8
= 3.
5) Find the three geometric means between 2 and 162.
6) Find the three geometric means between
1
2
and 8.
7) Find S
11
for 1 + 2 + 4 + 8 + ...
8) Find S
15
for 1 + 1.5 + 2.25 + 3.375 + ...
9) Find the sum of the following infinite geometric series, if it exists.
⎛⎞ ⎛ ⎞
⎜⎟ ⎜ ⎟
⎝⎠ ⎝ ⎠
111 1
+ - + + - + ...
24816
10) Find the sum of the following infinite geometric series, if it exists.
212 72
+ + + ...
525125