Problem #PRU-65334

Problemas Teoría de números Divisibilidad Ecuaciones en números enteros Métodos Ejemplos y contraejemplos. Pruebas constructivas Probabilidad y estadística Estadísticas

Problem

Valerie wrote the number 1 on the board, and then several more numbers. As soon as Valerie writes the next number, Mike calculates the median of the already available set of numbers and writes it in his notebook. At some point, in Mike’s notebook, the numbers: 1; 2; 3; 2.5; 3; 2.5; 2; 2; 2; 2.5 are written.

a) What is the fourth number written on the board?

b) What is the eighth number written on the board?