#2**+2 **

Hi guest!

The formula for a series is \(\frac{a_1+a_n}{2}\cdot n\)

n = how many terms there are

So, we know \(a_1=10\) since it's the first term (in this case let's save the 7 for the end, since it doesn't follow the pattern)

\(a_n=479\) since it's the last term

There are 68 terms because there are 479-10=469, 469/7 = 67 terms, but you have to add 1 since we didn't count 10, so there are 68 terms.

Now, all we have to do is plug the equation in!

\(\frac{10+479}{2} \cdot 68=16626\). We have to add that first 7 too, so \(16626+7=\boxed{16633}\).

I hope this helped you, guest!

:)

lokiisnotdead May 3, 2020