Can you complete the following number sequences?

**Number Sequence #1:**

**Number Sequence #2:**

**Number Sequence #3:**

#### Number Sequences

There are different types of number sequences. Let’s investigate the most widely used types of number sequences.

You may want to read this page first: https://www.mathsisfun.com/numberpatterns.html

##### Arithmetic Sequences

An Arithmetic Sequence is made by adding the same value each time. When creating an arithmetic number sequence you have to decide of a **starting number** (e.g. “2”) and an **increment** (e.g. “3”)

##### Geometric Sequences

A Geometric Sequence is made by multiplying by the same value each time.

When creating a geometric number sequence you have to decide of a **starting number** (e.g. “2”) and a **multiplier** (e.g. “3”)

##### Square Numbers

This sequence consists of calculating the squares of whole numbers.

##### Incremental Sequence

This sequence is generated by adding an “increasing” number, that is a number that each time is incremented by 1 as we progress through the number sequence. Not clear? Check the diagram below.

##### Fibonacci Numbers

The Fibonacci Sequence is found by adding the two numbers before it together.

- The 3 is found by adding the two numbers before it (1+2)
- The 5 is found by adding the two numbers before it (2+3)
- The 8 is found by adding the two numbers before it (3+5)
- …

#### Python Challenge

In this challenge, we are writing a Python script to help us find the n

^{th}term of a number sequence.

##### Arithmetic Sequence

We have completed the Python code to find out the n

^{th}term of an arithmetic number sequence:

Your challenge is to tweak this code to help find out the n^{th} term of any:

- Geometric Sequence
- Square Number Sequence
- Incremental Sequence
- Fibonacci Numbers Sequence