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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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):
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