Going from 3 to 7 is a jump of + 4, and going from 7 to 11 is a jump of + 4.
Therefore we know that the start of the nth term is going to be 4n.
So...when n = 1, 1 x 4 = 4, but we know from the sequence that when n = 1 the answer is 3, so we simply take 1 off the end to make...
4n - 1
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The nth term in this sequence is 4n + 3.
It is: 2n+9
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.
It is 4n -1 and so the next term will be 23
The next term is: 15+4 = 19 The nth term is: 4n-5