Two students were asked to extend the sequence 2, 4, 8 and so on. The first student said the answer is 2, 4, 8, 16, 32, 64...was the correct one. The second student, however, said that the first student was wrong and that the correct answer is 2, 4, 8, 14, 22, 32, 44 and so on. Which student is correct?

a. The first student is correct. The sequence must be a geometric sequence in which each term is multiplied by 2 to get the next term.

b. The second student is correct. It is a different sequence where it starts with 2, then adds 4, to get the 2nd term, then adds 6 to get the next term, then 8, then 10, then 12, and so on.

c. Both students are correct. The firs student is thinking of a geometric sequence. The second student is thinking of a different sequence where it starts with 2, then adds 2 to get the second term, then adds 4  to get the next term, then 6, then 8, then 10, then 12, and so on.

d. Neither student is correct