3-round logic challenge

Ilustração de um balão com ponto de interrogação e quadros com círculo, triângulo, quadrado e interrogação

✓ Question 1: 20

Round 1 of 3 · Question 2 of 57% complete

What number comes next?

124816?
32
24
30
36

Why, in question 1: What number comes next?

The answer is 20. Each number is 4 greater than the previous one: 4, 8, 12, 16, 20. When the difference between neighbours is always the same, you just add it once more.

A difference that doesn't change

Sequences like this are called arithmetic progressions: they start at a number and always grow by the same amount. The fastest way to recognise them is to write the difference between each number and the next one.

If all the differences are equal, the rule is found. If they're not, the sequence follows another kind of pattern, and it's worth looking at how the differences themselves behave.

This pattern shows up all the time in everyday life. On a calendar, the days that fall on the same weekday go up by 7: if the 3rd of the month is a Monday, the 10th, 17th and 24th are Mondays too.

You can also find any term without writing them all out. In this sequence, which starts at the jump itself, the tenth term is 4 times 10, that is, 40.

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