हिंदी

Find the sum of the first n natural numbers.

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प्रश्न

Find the sum of the first n natural numbers.

योग
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उत्तर

The first n natural numbers are 1, 2, 3, 4, 5,……..,n
Here, a = 1 and d = (2 – 1) = 1
Sum of n terms of an AP is given by

`s_n = n/2  [2a +(n-1) d]`

`= (n/2) xx [ 2xx1+(n-1) xx1]`

`= (n/2) xx [ 2+n-1] = (n/2) xx (n+1) = (n(n+1))/2`

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अध्याय 5: Arithmetic Progression - EXERCISE 5D [पृष्ठ २९३]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 5 Arithmetic Progression
EXERCISE 5D | Q 17. | पृष्ठ २९३
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