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Please, I need help on #2, part a,b, and c. Thank you.
a.) If p is a prime and p divides a_1, a_2, a_n, then prove that p divides a_i for some i. b.) Provide that for all positive integers n, n^3 + (n + 1)^3 + (n+2)^3 is a multiple of 9. c.) Suppose alpha, beta, and gamma are functions. If (alpha)(gamma)=(beta)(gamma) and gamma is one-to-one and onto, then prove that alpha=beta.
Please, I need help on #2, part a,b, and c. Thank you.
a.) If p is a prime and p divides a_1, a_2, a_n, then prove that p divides a_i for some i. b.) Provide that for all positive integers n, n^3 + (n + 1)^3 + (n+2)^3 is a multiple of 9. c.) Suppose alpha, beta, and gamma are functions. If (alpha)(gamma)=(beta)(gamma) and gamma is one-to-one and onto, then prove that alpha=beta.
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Nestor RutherfordLv2
22 Jan 2019