# How do you write the expression for the nth term of the sequence given #0, 3, 8, 15, 24,...#?

##### 1 Answer

Aug 31, 2017

#### Explanation:

If you try to find the differences between the numbers of the sequence, you'll notice that they go up by 3, 5, 7 and 9. These differences have a second difference of 2(i.e. they go up by 2).

Remember that the structure of a quadratic sequence, is

So, you halve the second difference in order to get the

Now, if you subtract the original sequence by the sequence of

Thus, the answer is:

(Also, if you know your squared numbers well, you will notice that it is

Hope this helps!