3-round logic challenge

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

✓ Question 4: 36

Round 1 of 3 · Question 5 of 527% complete

What number comes next?

112358?
11
13
12
16

Why, in question 4: Which number comes next?

The answer is 36. They are the squares of the numbers 1, 2, 3, 4 and 5: 1 × 1, 2 × 2, 3 × 3, 4 × 4, 5 × 5 and then, 6 × 6 = 36.

Square numbers

They are called that because they can be arranged in the shape of a square: 4 dots form a 2 by 2 square, 9 dots form a 3 by 3 one, and so on.

There is a hidden pattern in the differences: from 1 to 4 is 3, from 4 to 9 is 5, from 9 to 16 is 7. The squares grow by adding odd numbers, one after another.

That is why the sum of the first odd numbers always gives a square: 1 + 3 = 4, 1 + 3 + 5 = 9, and 1 + 3 + 5 + 7 = 16.

Option 49 was a trap: it is also a square, 7 × 7, but it skips 36. In a sequence, the answer must be the next term, not just a number that looks similar to the others.

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