# Number Sequence – Finding the nth Term

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

1,4,9,16,25,36…

This sequence consists of calculating the squares of whole numbers.

##### Incremental Sequence

1, 2, 4, 7, 11, 16, 22, 29, 37, …

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

1, 2, 3, 5, 8, 13, 21, 34, …

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 nth term of a number sequence.

##### Arithmetic Sequence

We have completed the Python code to find out the nth term of an arithmetic number sequence:

Your challenge is to tweak this code to help find out the nth term of any:

• Geometric Sequence
• Square Number Sequence
• Incremental Sequence
• Fibonacci Numbers Sequence

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