Ex 5.3, 6 - Chapter 5 Class 10 Arithmetic Progressions (Important Question)

Last updated at April 16, 2024 by

Ex 5.3, 6 - The first and last term of AP are 17 and 350

Ex 5.3, 6 - Chapter 5 Class 10 Arithmetic Progressions - Part 2

Transcript

Ex 5.3, 6 The first and the last term of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum? Given a = 17 , l = 350, d = 9 We need to find how many terms i.e. n and their sum i.e. Sn We know that an = a + (n − 1)d Putting a = 17 ,an = l = 350, d = 9 350 = 17 + (n − 1) × 9 350 − 17 = (n − 1) × 9 333 = (n − 1) × 9 333/9 = (n − 1) 37 = n − 1 n − 1 = 37 n = 38 To find sum, We use the formula Sum = 𝒏/𝟐 (a + l) Putting n = 38, a = 17, l = 350 Sum = 38/2 (17 + 350) Sum = 19 × 367 Sum = 6973

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