Pixie and Vedansi together thought of ten quadratic trinomials. Then,
Vedansi began calling consecutive natural numbers starting with some
natural number. After each called number, Pixie chose one of the ten
polynomials at random and plugged in the called number. The results
were recorded on the board. They eventually form a sequence.
After they fi nished, their sequence was arithmetic.
What is the greatest number of numbers that Vedansi could have called out?
Vedansi began calling consecutive natural numbers starting with some
natural number. After each called number, Pixie chose one of the ten
polynomials at random and plugged in the called number. The results
were recorded on the board. They eventually form a sequence.
After they fi nished, their sequence was arithmetic.
What is the greatest number of numbers that Vedansi could have called out?
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