Arithmetic Sequence:

- A sequence where the difference between the consecutive terms is constant
- Finding the nth term:
- Find the sum of n terms:

Geometric Sequence:

- A sequence where each term is multiplied the previous term by a constant
- Finding the nth term:
- Find the sum of n terms:

Here we will go through a problem involving an arithmetic sequence step by step (click here):

1. See if you can see a pattern

Find the next 3 terms of the following sequence:2. Plug terms into the formula

We can see that difference in each term is 8.

3. Compute terms

We will now go through a problem involving a geometric sequence step by step (click here):

Find the 7th term of the following sequence:1. Check to see if the ratio is constant

2. Plug terms into formula

3. Compute term

Here’s an example where you have to find the sum of terms (click here):

Arithmetic and geometric series aren’t very hard. Just memorize the formulas and it should be pretty easy.

Until next time,

Leah