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Ex 5.3

Ex 5.3, 1 (i)

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Ex 5.3, 3 (iv) Important

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Ex 5.3, 3 (vi) Important

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Ex 5.3, 3 (viii) Important

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Chapter 5 Class 10 Arithmetic Progressions

Serial order wise

Last updated at March 16, 2023 by Teachoo

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