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

Last updated at August 2, 2026 by

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

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

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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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