A multiplication pattern is a sequence where you multiply each term by the same number to get the next term. This is also known as a geometric sequence.
How do you find the rule in a multiplication pattern?
Divide a term by the term that came before it. In the pattern \(3, 6, 12\), you can calculate \(6 \div 3 = 2\). The rule is 'multiply by \(2\)'.
What is the rule for the pattern \(1, 3, 9, 27, ...\)?
The rule is 'multiply by \(3\)'.
Find the next two terms in the pattern: \(2, 8, 32, ...\)
The rule is 'multiply by \(4\)'. The next two terms are \(128\) and \(512\).
What is the missing number in this sequence? \(5, 10, \_\_, 40, 80\)
The missing number is \(20\). The rule is 'multiply by \(2\)', and \(10 \times 2 = 20\).
A pattern starts at \(1\) and the rule is 'multiply by \(5\)'. What are the first four terms?
The first four terms are \(1\), \(5\), \(25\), and \(125\).
How is the pattern \(2, 4, 6, 8\) different from \(2, 4, 8, 16\)?
The first pattern has a rule of 'add \(2\)' (arithmetic). The second pattern has a rule of 'multiply by \(2\)' (geometric), so it grows much faster.
Find the next term in the pattern: \(4, 40, 400, ...\)
The next term is \(4000\). The rule is 'multiply by \(10\)'.
Identify the number that does not fit the pattern: \(3, 9, 27, 80, 243\)
The number \(80\) does not fit. The rule is 'multiply by \(3\)', so the term should be \(27 \times 3 = 81\).
A single bacterium splits into two every hour. If you start with \(1\) bacterium, how many will there be after \(4\) hours?
There will be \(16\) bacteria. The pattern is \(1, 2, 4, 8, 16\). The rule is 'multiply by \(2\)'.
What is the missing term: \(7, \_\_, 700, 7000\)?
The missing term is \(70\). The rule is 'multiply by \(10\)'.
