Question: Consider the statement S n given by n 2 - n + 41 is prime. Although S 1 , S 2 , . . .

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? S35 S36 S37 S38 S39 S40 S41 S42

S35 S36 S37 S38 S39 S40 S41 S42

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To demonstrate that S41 is false we will evaluate the expression n 2 n 41 by substituting n with 41 ... View full answer

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