Find the sum of the odd numbers between 0 and 50.

Question

KnowledgeBoat · Accepted Answer

Sum of odd numbers between 0 and 50 are : 1, 3, 5, ........, 49. The above list is an A.P. with first term (a) = 1 and common difference (d) = 3 - 1 = 2. Let 49 be the nth term. ⇒ a_n = 49 ⇒ a + (n - 1)d = 49 ⇒ 1 + 2(n - 1) = 49 ⇒ 2(n - 1) = 48 ⇒ n - 1 = ⇒ n - 1 = 24 ⇒ n = 25. By formula, Sum of an A.P. (S) = [First term + Last term] Substituting values we get : Hence, sum of the odd numbers between 0 and 50 = 625.

Mathematics

Find the sum of the odd numbers between 0 and 50.

AP

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