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.