Question

What is the general rule for 1 3 5 7 9?

Answer 1

The sequence that is given to us is 1, 3, 5, 7, 9, ... a5 - a4 = 9 - 7 = 2. Hence, from the above simplification we can see that the common difference is 2. Therefore, the general term for the sequence 1, 3, 5, 7, 9, . . . is 2n - 1.