Geometric Sequences

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Find the eighth term of the geometric sequence 5, 15, 45, and so on
The first term of a geometric sequence is 3 and the third term is 4 thirds. Find the fifth term.
The common ratio in a geometric sequence is 3 halves and the fifth term is 1. Find the first three terms.
Find the sum 1 minus 1 half + 1 fourth minus 1 eighth + dot dot dot minus 1 five hundred twelfth.
Find the sum: sigma where k = 0 to 4 of 3 left paren 2 thirds right paren to the k power