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

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Answer 1 · 2018-07-06T17:59:55

$35$ $35$ and $48$ $48$

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

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

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

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

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 $9$ $9$ , so let's add two more than that, $11$ $11$ , to get to the next term.

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

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

$48$ $48$

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

Hope this helps!