Week 2 – Geometric sequences

This week in pre-calc 11, I learned how to find the finite sum of a converging geometric sequence. A converging geometric sequence is where the number keeps getting smaller and smaller but will never equal to 0. To figure out of a geometric sequence is converging, there are 2 ways you can tell, 0 < r < 1 and -1 < r < 0.

To figure out a geometric sum, you need to find the common ratio and use the formula and replace ‘a’ with the first term and replace ‘r’ with the common ratio. It’s important to know if its converging because then you know there is no finite ending to the sequence.