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can someone help on these gcse coursework formulas watch

1. can someone please tell me what the formulas are for these 7 sequences and also tell me how you got them:

1)
1, 5, 14, 30, 55

2)
1, 6, 18,40,75

3)
1, 7, 22, 50, 95

4)
1, 8, 26, 60, 115

5)
1, 9, 30, 70, 135

6)
1, 10, 34, 80, 155

7)
1, 11, 38, 90, 175

thanks alot!
2. 1) 1, 5, 14, 30, 55
The 1st differences are,

4, 9, 16, 25

which are the squares of the first 4 (positive) integers greater than 1.
So the sequence is given by,

an = an-1 + n²

The others are all solved identically. See here for how to.

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