Question 94
Alberto and Barbara write numbers on a board. Alberto first writes a real number $x$, then Barbara writes 1. They alternate thereafter. Alberto multiplies the latest number by $x^2$ and writes the result; Barbara adds $x+1$ to the latest number and writes the result. They stop when 2020 numbers have been written. Which statement is always true?
(A) At least one written number is negative
(B) All written numbers are positive
(C) Alberto wrote only positive numbers
(D) Alberto wrote only negative numbers
(E) Barbara wrote only positive numbers
(A) At least one written number is negative
(B) All written numbers are positive
(C) Alberto wrote only positive numbers
(D) Alberto wrote only negative numbers
(E) Barbara wrote only positive numbers