Question

The increasing size of the cubes shows a pattern. Make a generalisation about the pattern of the side lengths of the cubes by using algebraic expressions

Answer 1

In the pattern of increasing cubes, the side length of each subsequent cube is one unit longer than the side length of the previous cube.

We can represent by the following algebraic expression:

side_length = n + 1

where:

side_length represents the side length of the cube

n represents the position of the cube in the sequence (starting at 1 for the first cube)

For example, the side length of the first cube is 1 unit, the side length of the second cube is 2 units, the side length of the third cube is 3 units, and so on. This pattern can be extended indefinitely to create cubes of any size.