Dive into this KS3 Maths quiz where we explore lists of numbers strutting their patterns. Some sequences are easy to spot, like, 1, 3, 5, 7 - the gang of odd numbers or 15, 20, 25, 30, marching up in 5s. But brace yourself, the questions below aren't a walk in the park. That wouldn't be fun, right?
Boost Your Child's Confidence with Quizzes[readmore]
Figuring out the secret code in a number sequence is a bit like being a detective. Check the gap between each pair of numbers – is it the same every time? Bingo, you've cracked the code! If the gaps change, things get trickier. Jot down each change and see if they're doubling, tripling, or playing some other maths game.
Mastering these patterns is like a superpower for algebra. The more you spot, the better you become at the maths game. Go slow, understand each question, and ace this quiz. Good luck!
[/readmore]
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
You can find more about this topic by visiting BBC Bitesize - Patterns and sequences
A sequence is a particular order in which related things follow each other
|
The rule might be 'add four' or 'double the last number' for example
|
||||||||||||||||||||||||
Terms in a sequence are often labelled Tn where n indicates the position of the term in the sequence: for the 1st term, n = 1, for the 2nd n = 2 etc
|
Each number is 4 less than the previous number. If asked to give the rule we might say 'Take 4 from the previous number'
|
||||||||||||||||||||||||
The rule is that we add 3 to the previous number
|
If you carried this sequence on the numbers would soon become astronomical!
|
||||||||||||||||||||||||
This sequence is called the Fibonacci sequence. The rule is that we add together the two previous numbers. Sometimes sequences are easy to spot and at other times they take a lot of thinking about!
|
These are simply the counting numbers. The first term is 1; the second term is 2; the third term is 3 etc., so the nth term, Tn, is just n
|
||||||||||||||||||||||||
Try out each rule to find which fits. If Tn = 3n + 1, when n = 1 the 1st term is 3 x 1 + 1 = 4 but if Tn = n + 4, the 1st term is 1 + 4 = 5
|
Use n = 6 to find the value of Tn
|