Math, asked by sanjunayak21, 5 months ago

find the sum of all the first n even natural numbers​

Answers

Answered by ampssre1212
1

Answer:

110 answer

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Answered by Itzraisingstar
6

Answer:

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The sum of the first n even natural numbers is n [n + 1].

Given :  

First n even natural numbers are 2,4 ,6 ,………., 2n  which forms an AP.

Here, a = 2, d = 4 - 2 = 2

By using the formula ,Sum of nth terms , Sn = n/2 [2a + (n – 1) d]

Sn = n/2 [2(2) + (n -1) 2]

Sn = n/2  [4  + 2n – 2]

Sn = n/2 × 2 [2  + n – 1]

Sn = n [n + 1]

Hence, the sum of the first n even natural numbers is n [n + 1].

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