The problem presents a repeating pattern of shapes, each labeled with a number. The pattern is: star, square, triangle, pentagon, circle. The numbers assigned to each shape are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ... The problem asks to determine the numbers of the next two stars in the pattern.

1. Problem Description

The problem presents a repeating pattern of shapes, each labeled with a number. The pattern is: star, square, triangle, pentagon, circle. The numbers assigned to each shape are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ... The problem asks to determine the numbers of the next two stars in the pattern.

2. Solution Steps

The pattern of shapes repeats every 5 shapes. The first star has number 1, and the second star has number

6. Therefore, the numbers for the stars in the sequence increase by 5 each time. The numbers of the stars are: 1, 6, 11, 16,...

The first star is number

1. The second star is number

6. The third star will be $6+5 = 11$. The fourth star will be $11+5 = 16$.

3. Final Answer

The numbers of the next two stars are 11 and

1

6.