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).

1 Answer
Apr 11, 2017

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.