Use the method of Gauss to find the sum.

2+4+6+...+300

is it 300(300+2)/2 = 45300

http://www.jiskha.com/display.cgi?id=1273492977

Yes, you are correct. The sum of an arithmetic series can be found using the formula for the sum of the first n terms, also known as the method of Gauss. The formula is given by:

Sum = (n/2) * (first term + last term)

In this case, the first term is 2 and the last term is 300. Since you want to find the sum of all the even numbers from 2 to 300, the common difference is 2.

First, we need to find the number of terms, n. We can calculate this by finding the difference between the first term and the last term, and dividing it by the common difference:

n = (last term - first term) / common difference
= (300 - 2) / 2
= 298 / 2
= 149

Now we can plug in these values into the formula:

Sum = (n/2) * (first term + last term)
= (149/2) * (2 + 300)
= 149 * 302
= 44998

Therefore, the sum of the numbers 2, 4, 6, ..., 300 is 44998.