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anonymous
 5 years ago
The sum of all even numbers upto 100 is?
anonymous
 5 years ago
The sum of all even numbers upto 100 is?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The even numbers have a common difference of 2. Your first term is 2 (I'm assuming you want to sum from numbers greater than or equal to 1 up to 100). From the formula for the nth term in an arithmetic sequence, we have, a[n] = a[1]+(n1)d, and so, 100 = 2 + (n1)*2 which yields n =50  that is, you'll have 50 terms to sum. The sum of the first 50 terms is then given by, S[n] = (n/2)(a[1]+a[n]) = (50/2)(2+100) = 2550
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