# New Algebra Playlist - Arithmetic Sequences and Geometric Series – Word Problems

## New Algebra Playlist

658 Lessons

### Arithmetic Sequences and Geometric Series – Word Problems

This algebra video tutorial explains how to solve word problems relating to arithmetic sequences and geometric series.

Here is a list of problems.
1. Find the sum of the first 200 natural numbers.
2. Find the sum of all even numbers from 2 to 100 inclusive.
3. An auditorium has 10 seats in the first row and 2 additional seats in each successive row. If there are 25 rows, how many seats are in the last row? How many seats are in the auditorium?
4. The population of cats on an island is 1000 and is currently increasing 4% each year. What will be the population in 20 years.
5. The value of a new car is \$30,000. If the car depreciates 5% in value each year, what will be the value of the car in 13 years?
6. If you receive \$0.01 on the first day, \$0.02 on the second day, \$0.04 on the third day, and double the amount on each successive day, what is the total amount of money you will receive in 30 days?

Skills need in this video include the ability to calculate the value of the nth term using the general formula of an arithmetic sequence and the ability to calculate the partial sum of a finite arithmetic sequence. You need to know how to determine the common ratio of a geometric sequence as well as the partial sum of a geometric series. As you can see, there are plenty of examples and practice problems in this video on arithmetic series and geometric sequences.

New Algebra Playlist: