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Question P3 Growing patterns and tables

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Red beads — a bracelet pattern

Ravi is threading red beads onto bracelets. Bracelet 1 has 3 red beads, Bracelet 2 has 7 red beads, and Bracelet 3 has 11 red beads. How many red beads will Bracelet 7 have?

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About this method

Growing patterns and tables

Find the rule, so Figure 250 is no harder than Figure 4.

In this one. When a list goes up by the same amount every time, you reach any later term by adding that step over and over in a table — you never have to draw the figure itself.

The first threeeach one adds 3Figure 14Figure 2+3Figure 3+3Any figure3n + 1Figure nFigure 250 = 751

How to spot it

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'.

Common mistake

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.

Practise a similar question

Standard Continue this number pattern: 3000, 3500, 4000, __. What is the next number?
All 4 with this pattern →
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