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 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