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 a beta raised to the seventh power?	Choose the correct choice:
A) alpha  B) beta  C) gamma  D) delta  E) epsilon
Let the alpha be 5k and let the beta be 5j+1.   (5k)^7 + (5j+1)^7 which has the form 5k+1, which is a beta.   The answer is beta.
<result>B</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 a beta raised to the seventh power?