SOLUTION: I need to find the sum of 2+4+6+8+10+...+1020. I know I'm adding 2 to each number but I can't figure out how to sum them all. Please help. Thank you.

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Question 414395: I need to find the sum of 2+4+6+8+10+...+1020.
I know I'm adding 2 to each number but I can't figure out how to sum them all.
Please help. Thank you.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

{2,4,6,8,10,...,1020} is an Arithmetic Sequence where difference between the terms = 2



   1020=2+(n-1)*2

    1018/2 = n-1

     509 + 1 = n

        510 = n   (1020 is the 510 term)  Note: 1020/2 = 510



 = 255(1022) = 260,610

 

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