Find the sum of all even numbers between 10 and 100.

Question

KnowledgeBoat · Accepted Answer

Even numbers between 10 and 100 are : 12, 14, 16, ....., 98 Let total number of terms in A.P. be n. Given, a = 12 d = 14 - 12 = 2 We know that, ∴ an = a + (n - 1)d ⇒ 98 = 12 + (n - 1)2 ⇒ 98 - 12 = (n - 1)2 ⇒ 86 = (n - 1)2 ⇒ = (n - 1) ⇒ n - 1 = 43 ⇒ n = 43 + 1 ⇒ n = 44 We know that, Sum of n terms of an A.P. is given by, ∴ Sn = (a + l) ⇒ S44 = (12 + 98) = 22 (110) = 2420. Hence, S44 = 2420.

Mathematics

Find the sum of all even numbers between 10 and 100.

AP

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Mathematics

Find the sum of all even numbers between 10 and 100.

AP

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