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Question
Find a8 and a15 whose nth term is an = `{{:(("n"^2 - 1)/("n" + 3)";", "n is even""," "n ∈ N"),(("n"^2)/(2"n" + 1)";", "n is odd""," "n ∈ N"):}`
Solution
an = `{{:(("n"^2 - 1)/("n" + 3)";", "n is even"),(("n"^2)/(2"n" + 1)";", "n is odd"):}`
a8 = `("n"^2 - 1)/("n" + 3) = (8^2 - 1)/(8 + 3) = (64 - 1)/11 = 63/11`
a15 = `"n"^2/(2"n" + 1) = 15^2/(2 xx 15 + 1) = 225/(30 + 1) = 225/31`
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