Example 14 (ii) - Chapter 5 Class 10 Arithmetic Progressions

Last updated at April 16, 2024 by

Example 14 - Chapter 5 Class 10 Arithmetic Progressions - Part 5

Example 14 - Chapter 5 Class 10 Arithmetic Progressions - Part 6

Transcript

Example 14 Find the sum of : (ii) the first n positive integers Positive integers start from 1 First n positive integers are 1, 2, 3, 4, ………., n This is an AP with First term = a = 1 Common Difference = d = 1 Number of terms = n = (n − 1) + 1 = n Last term = l = n To find sum, we use the formula Sum = 𝒏/𝟐[𝒂+𝒍] Putting values Sum = 𝑛/2 (1+𝑛) Sum = (𝑛(𝒏 + 𝟏))/2

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.