NCERT Class X Chapter 5: Arithmetic Progression Example 15
NCERT Class X Chapter 5: Arithmetic Progression Example 15 Question: Find the sum of first 24 terms of the list of numbers whose n th term is given by a n = 3 + 2n Given: The nth term of the list of numbers is given by a n = 3 + 2n. We need to find the sum of the first 24 terms. To Find: The sum of the first 24 terms (S 24 ). Formula: The sum of an arithmetic series is given by: S n = n 2 (a 1 + a n ), where n is the number of terms, a 1 is the first term, and a n is the last term. Solution: First, let's find the first term (a 1 ) and the 24 th term (a 24 ). a 1 = 3 + 2(1) = 5 a 24 = 3 + 2(24) = 51 Now, we can use the formula for the sum of an arithmetic series: S 24 = 24 2 (a 1 + a 24 ) ⇒ S 24 = 12(5 + 51) ⇒ S 24 = 12(56) = 672 Result: The sum of the first 24 terms is 672. Next question solution: NCERT Class X Chapter 5: Arithmetic Progression Example 16(i) Explore more in Arithmetic Progressions cha...