Star Operation a★b=ab+a+b

1550AdeptCombinatoricsAlgebra

Harvard-MIT Mathematics Tournament

Let $a \star b = a b + a + b$ for all integers $a$ and $b$. Evaluate $1 \star (2 \star (3 \star (4 \star \ldots (99 \star 100) \ldots)))$.

0 students attempted0% solvedRating 1550

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1550AdeptCombinatoricsAlgebra

Harvard-MIT Mathematics Tournament

Let $a \star b = a b + a + b$ for all integers $a$ and $b$. Evaluate $1 \star (2 \star (3 \star (4 \star \ldots (99 \star 100) \ldots)))$.

0 students attempted0% solvedRating 1550