One possible answer is
t(n) = (n5 - 10n4 + 55n3 - 110n2 +364n)/60
7n - 4
Just subtract 9.
The nth term is 7n-4 and so the next number in the sequence is 31
I suspect that the first term should be "negative 3", ie the sequence is -3, 1, 5, 9, 13, 17, ... The nth term is 4n - 7
The nth term is: 3n+2 and so the next number will be 20
7n - 4
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
Just subtract 9.
It is: nth term = 35-9n
The nth term is 7n-4 and so the next number in the sequence is 31
The nth term is 5n-3 and so the next term will be 22
You can see that all the numbers go up by 7. This means that the first part of the nth term rule for this sequence is 7n. Now, you have to find out how to get from 7 to 3, 14 to 10, 21 to 17 ... this is because we are going up in the 7 times table. To get from the seventh times table to the sequence, you take away four. So the answer is : 7n-4
-11n + 17
The nth term is 25-4n and so the next term will be 5
I suspect that the first term should be "negative 3", ie the sequence is -3, 1, 5, 9, 13, 17, ... The nth term is 4n - 7
5
It is 4n+5 and so the next term will be 25