n(n-1)/2+1
Example for n-7:
1, 2, 4, 7, 11, 16, ?
7(7-1)/2+1
7(6)/2+1
42/2+1
26+1
27
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5n+1
It is 5n-4 and so the next term will be 21
The nth term of the sequence is 2n + 1.
The nth term is: 3n+1 and so the next number will be 16
35 * * * * * That is the next term. The question, however, is about the nth term. And that is 6*n - 1