The rule for a shape pattern is "square, triangle, circle, oval." What is the fiftieth shape?

(1 point)
Responses

square

square

triangle

triangle

circle

circle

oval

oval
Skip to navigation

1 answer

To determine the fiftieth shape in the pattern "square, triangle, circle, oval," we first recognize that the sequence of shapes repeats every four terms.

The pattern can be identified as follows:

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

This is a cycle of 4 shapes.

To find the fiftieth shape, we can use the modulo operation to see where the fiftieth term falls in the cycle:

  • Calculate \( 50 \mod 4 \).
  • \( 50 \div 4 = 12 \) with a remainder of \( 2 \).

The remainder tells us the position in the cycle:

  • Remainder 1 corresponds to "square"
  • Remainder 2 corresponds to "triangle"
  • Remainder 3 corresponds to "circle"
  • Remainder 0 corresponds to "oval" (the 4th position)

Since our remainder is 2, the fiftieth shape is a triangle.