Question

Here are the first five terms of a sequence:

Answer 1

Answer:

2n² + n + 1

Step-by-step explanation:

                               4, 11, 22, 37

Difference between:  7, 11, 15

7,11,15 are all 4 apart. You divide the 4 by 2 to get 2n² (it is squared because you needed a second level to find the difference)

And then I knew you needed to put the original 2n² with the sequence we are trying to work out.

                                                                 2, 8, 18, 32

                                                                 4, 11, 22, 37

difference between the 2 sequences   2, 3 ,4 ,5 (which all has a difference of 1)  which means 1n or just  n.

So that's 2n² + n

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