#### Learning Objectives

In this challenge we are going to apply our programming skills to perform some arithmetic operations. We will use arithmetic operators such as +, – and * as well as

*for loops*to repeat instructions.

#### Context / Starter activity

A primary teacher likes to start her maths lesson by displaying a number sequence maths challenge on the board. Here are the last three challenges she has used with her class. Can you solve these?

**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 Code

##### Arithmetic Sequence

##### Triangular Numbers

##### Fibonacci Numbers

#### Challenge #1

Edit some of the above scripts to create other number sequences such as:

- Arithmetic sequences using a different starting number and increment,
- Geometric sequences,
- Square numbers sequence.

You can also adapt or even mix these techniques to create your own number sequences!

#### Challenge #2

Adapt your scripts so that the program asks the end-user the question: “What number comes next in the sequence?” The user has to type their answer. The program should check if they have got the right answer or not.