A pattern rule is "square, triangle, circle, oval." What is the 50th shape?

Question

(1 point)
Responses

square

square

triangle

triangle

circle

circle

oval

Answer 1

To determine the 50th shape in the pattern "square, triangle, circle, oval," we first note that the pattern consists of 4 shapes:

1. Square
2. Triangle
3. Circle
4. Oval

This sequence repeats every 4 shapes. To find out the position of the 50th shape in the repeating sequence, we can use modulo arithmetic:

1. Calculate $50\mathrm{mod}4$.
2. $50÷4=12$ remainder $2$.

Since $50\mathrm{mod}4=2$, this means the 50th shape corresponds to the 2nd shape in the repeating sequence.

From our pattern:

1. Square (1st)
2. Triangle (2nd)
3. Circle (3rd)
4. Oval (4th)

The 2nd shape is triangle.

Therefore, the 50th shape is triangle.