Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and another alpha raised to the seventh power?  Choose the correct choice from the following answers
A) alpha.  B) beta.  C) gamma.  D) delta.  E) epsilon.
Let the two alphas be 5k and 5j.   (5k)^7 + (5j)^7 is a multiple of 5 so it is an alpha.   The answer is alpha..
<result>A</result>
Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and another alpha raised to the seventh power?