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

(1 point)
Responses

square

square

triangle

triangle

circle

circle

oval

oval

1 answer

The pattern "square, triangle, circle, oval" consists of 4 shapes that repeat in that order.

To determine the 50th shape, we can use the formula for finding the position within a repeating sequence:

  1. Divide the position by the number of unique shapes: \( 50 \div 4 = 12\) with a remainder of \( 2 \).

The remainder tells us the position in the sequence:

  • Remainder 1 corresponds to "square"
  • Remainder 2 corresponds to "triangle"
  • Remainder 3 corresponds to "circle"
  • Remainder 0 corresponds to "oval" (when complete)

Since the remainder is 2, the 50th shape is a triangle.