2 Answers

Christiaan · Answer 1 · 2022-03-26T02:45:26+0000

The first difference is +5 +7 +9 +11
The second difference is +2
Half the second difference to get the coefficient of n^2
So it will be n^2
Compare n^2 to original sequence
1 4 9 16 25 36
3 8 15 24 35
The difference between the two is +2 +4 +6 +3
This is a linear sequence with the nth term of 2n
so the nth term is n^2 +2n

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