Question

Here are the first four terms of a sequence.
4,11,22,37
Find an expression, in terms of n, for the nth term of this sequence

Answer 1

Answer:

These numbers are 5 more than the square number sequence 1,4,9,16,25,36 which has nth term n^2. So the final answer for the nth term of this quadratic sequence is n^2 + 5. Question: Find nth term of this sequence 4,11,22,37? Answer: The first differences are 7, 11, 15, and the second differences are 4.