Question P5–P6 Growing patterns and tables
Today’s problem — free all day, every step. Every day has one.
Pattern 1: 3, 7, 11, 15, ... Pattern 2: 7, 12, 17, 22, ... The number 7 is the first common term in both patterns. What is the sum of the next two common terms?
Answer
See all 9 steps
MathBrush is being tested with a few parent groups, and every solution on the site is open to them — one household, all children. If you were given a code, it goes in once and this device remembers it.
I have a code → See the free ones
65 worked examples are free without a code, two from every pattern. No account, either way.
Find the rule, so Figure 250 is no harder than Figure 4.
In this one. Once two patterns share a term, they share one again every LCM of their two step sizes — here every 4 × 5 = 20 — so one common term gives you the rest for free.
A row of figures or a table of numbers is shown for the first few terms only, and the question asks for a term far further along, such as 'Figure 6' or 'Figure 250'.
Children extend the sequence one term at a time by drawing or counting. Finding the fixed step or relationship lets them jump straight to the term asked for.
Worked examples of all 33 patterns and skills, in a booklet you can print.