# How do you find the next two terms in 0, 3, 8, 15, 24?

Jul 6, 2018

$35$ and $48$

#### Explanation:

How do we get from $0$ to $3$? One way would be to add $3$.

How about from $3$ to $8$? Here, we can add $5$.

What about $8$ to $15$? We could add $7$. You may be noticing a pattern here.

What do we do to get from $15$ to $24$? We can add $9$.

It appears that we are adding two more than we previously did to get to the next number.

To get our last term, we added $9$, so let's add two more than that, $11$, to get to the next term.

$24 + 11 = 35$ (this is our sixth term)

We can add two more than $11$, or $13$ to the last term to get

$48$

Therefore, the next two terms would be $35$ and $48$.

Hope this helps!