For a sequence to be considered an arithmetic sequence, there must be a constant difference between the terms. If a,b,c,d,e is an arithmetic sequence, which of the following is also an arithmetic sequence?
I. 7a,7b,7c,7d,7e
II. a-5, b-5, c-5, d-5, e-5
III. a^3, b^3, c^3, d^3, e^3
Choose the correct choice from the following answers: A) III only B) I and II C) II and III D) II only E) I and III
lets look at the three choices...   I. 7a,7b,7c,7d,7e   since the difference is constant, it is an arithmetic sequence...   II. a-5, b-5, c-5, d-5, e-5   since the difference is constant, it is an arithmetic sequence   III. a^3, b^3, c^3, d^3, e^3   since the difference is not constant it is not be an arithmetic sequence...   Answer is I and II)
<result>B</result>
For a sequence to be considered an arithmetic sequence, there must be a constant difference between the terms. If a,b,c,d,e is an arithmetic sequence, which of the following is also an arithmetic sequence?
I. 7a,7b,7c,7d,7e
II. a-5, b-5, c-5, d-5, e-5
III. a^3, b^3, c^3, d^3, e^3