Ex 5.3, 3 (i) - Chapter 5 Class 10 Arithmetic Progressions

Last updated at December 13, 2024 by

Ex 5.3, 3 - In an AP (i) Given a = 5, d = 3, an = 50 find n Ex 5.3, 3 - Chapter 5 Class 10 Arithmetic Progressions - Part 2

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Ex 5.3, 3 In an AP (i) Given a = 5, d = 3, an = 50, find n and Sn. Given a = 5 , d = 3 , an = 50 We know that an = a + (n – 1) d Putting values 50 = 5 + (n – 1) ×3 50 = 5 + 3n – 3 50 = 2 + 3n 50 – 2 = 3n 48 = 3n 48/3=𝑛 n = 16 Now we need to find Sn Sn = 𝒏/𝟐(𝟐𝒂+(𝒏−𝟏)𝒅) Putting n = 16, a = 5, d = 3 = 16/2 (2 × 5+(16−1) × 3) = 8 (10+15 × 3) = 8(10+45) = 8 ×55 = 440 So, answer is n = 7 and a = –8

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