What level will use 24 toothpicks if you continue a design made to form triangles First level uses 3 Second level uses 6 Third level uses 9 toothpicks etc?

Answer 1

There is a pattern here:

Level 1 uses 3 = 3 × 1 toothpicks

Level 2 uses 6 = 3 × 2 toothpicks

Level 3 uses 9 = 3 × 3 toothpicks

So it looks like each level uses 3 times the level number of toothpicks.

ı→ 3 × level = 24

→ level = 24 ÷ 3 = 8

So Level 8 uses 24 toothpicks.