NCERT Class X Chapter 5: Arithmetic Progression Example 14(i)
NCERT Class X Chapter 5: Arithmetic Progression Example 14(i) Question: Find the sum of : the first 1000 positive integers Given: The first 1000 positive integers: 1, 2, 3, ..., 1000 To Find: The sum of the first 1000 positive integers Formula: The sum of the first n positive integers is given by the formula: n(n+1) 2 Solution: Let S be the sum of the first 1000 positive integers. Using the formula for the sum of an arithmetic series: S = n(n+1) 2 where n = 1000 Substituting n = 1000 into the formula: S = 1000(1000+1) 2 S = 1000(1001) 2 ⇒ S = 1001000 2 ⇒ S = 500500 Result: The sum of the first 1000 positive integers is 500500. Next question solution: NCERT Class X Chapter 5: Arithmetic Progression Example 14 (ii) Explore more in Arithmetic Progressions chapter: Click this link to explore more NCERT Class X Chapter 5 Arithmetic Progressions solutions Explore more: Click thi...