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In Math / Senior High School | 2025-07-24

What is the sum of all even number from 2 to 100?​

Asked by manelynvillacencio

Answer (1)

Answer:2550Step-by-step explanation:Use the formula for an arithmetic series:n =  (l−a)/d + 1where a is the first term, l is the last term, and d is the common difference.In this case, l is 100, a is 2, and d is 2.The number of terms is:n =  (l−a)/d + 1n =  (100−2)/2 + 1 n = 49 + 1 or 50 termsThe sum of these 50 terms is given by:(n/2)(a + l)(50/2)(2 + 100)25 * 102 = 2550​

Answered by rspill6 | 2025-07-24