Sequences

There are 366 different Starters of The Day, many to choose from. You will find below some starters on the topic of Sequences. A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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Sequences Starters:

Add 'em

Add up a sequence of consecutive numbers. Can you find a quick way to do it?

House Numbers

The numbers on five houses next to each other add up to 70. What are those five numbers?

Missing Terms

Find the missing terms from these linear sequences.

One one

Continue the given number pattern with the help of a little lateral thinking.

Sea Shells

A question which can be best answered by using algebra.

Sequence Dancing

Find the next term of the number sequences.

Sign Sequences

Continue the sequences if you can work out the rule.

Spider Sequences

Find the next term of the given number sequences. Can you also find a general rule for predicting the nth term of the sequence?

To Be Continued

Work out the next term in the given sequences.

Windmill Sequence

Find the value of the missing term of the sequence. It is easier than you may think!

Advanced Sequences Starters

 

Exercises

Arithmetic Sequences

Arithmetic Sequences

An exercise on linear sequences including finding an expression for the nth term and the sum of n terms.

Aunt Lucy's Legacy

Aunt Lucy's Legacy

Decide which of the four schemes Aunt Lucy proposes will provide the most money. This investigation involves the sum of sequences as well as considering life expectancy.

Counter

Counter

A dynamic visual aid that counts! Choose the first term, common difference and the speed

Fibonacci Quest

Fibonacci Quest

A number of self marking quizzes based on the fascinating Fibonacci Sequence.

Four Ever

Four Ever

Generate a number sequence based on the number of letters needed to spell the previous number.

Geometric Sequences

Geometric Sequences

An exercise on geometric sequences including finding the nth term and the sum of any number of terms.

Interest

Interest

Practise using the formulas for simple interest and compound interest.

Iteration

Iteration

Find approximate solutions to equations numerically using iteration.

Matchstick Patterns

Matchstick Patterns

Create a formula to describe the nth term of a sequence by examining the structure of the diagrams.

Missing Terms

Missing Terms

Can you work out which numbers are missing from these number sequences?

Mystic Rose

Mystic Rose

Investigate the properties of the Mystic Rose by using this interactive diagram.

Pascal's Triangle

Pascal's Triangle

Get to know this famous number pattern with some revealing learning activities

Quadratic and Cubic Sequences

Quadratic and Cubic Sequences

Deduce expressions to calculate the nth term of quadratic and cubic sequences.

Quick Add 'Em Quiz

Quick Add 'Em Quiz

Find the sum of a sequence of consecutive numbers using a quick, efficient, elegant method.

Sequence Generator

Sequence Generator

An online app which produces number sequences as words.

Steps

Steps

Investigate the numbers associated with this growing sequence of steps made from Multilink cubes.

Tower of Hanoi

Tower of Hanoi

Move the pieces of the tower from one place to another in the minimum number of moves.

Watsadoo

Watsadoo

Rotate the cogs to catch the flying numbers in the correct sections.

 

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