Question

What os the nth term for : -6,-1,4,9,14

Answer 1

To find the nth term of a sequence, you first want to find the term to term difference.
-6,   -1,   4,   9,   14
   +5   +5   +5  +5
The term to term difference is the coefficient of n
5n
Now, we write out the sequence of 5n and work out the difference between the new sequence and the original
Always begin with n = 1
     -6,    -1,       4,      9,       14,
 -    5,     10,     15,     20,     25,
     -11   -11    -11     -11    -11

The nth term is 5n - 11