Question

Is there a possible rule for the nth term of the sequence: 1, n, n, n, n,···,n?

Doesn't seem additional since the differences aren't all constant (n-1 and 0).

Answer 1

`a_n=n`

Explanation:

If the `n` in your sequence is the same as the `n` in your `a_n`, then it is actually an arithmetic sequence. Use the rule `a_n=n`. So for your first term, you have `n=1`, then `a_n=a_1=1`. For your second term, you have `n=2`, then `a_n=a_2=2=n` and so on.