Consider the statement S_n given by n² - n + 41 is prime. Although S₁, S₂, . . . , S₄₀ are true, S₄₁ is false. Verify that S₄₁ is false. Then describe how this is illustrated by the dominoes in the figure. What does this tell you about a pattern, or formula, that seems to work for several values of n?

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S35 S36 S37 S38 S39 S40 S41 S42