ICSE & CBSE Board Question Based on Arithmetic Progression of RS Aggarwal
In this Question you have to find the sum of first n even natural numbers.
This is the Question Number 14 Of Exercise 11D of RS Aggarwal Solution.
Deepak BoraNewbie
Find the sum of first n even natural numbers.
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Even natural numbers = 2,4,6,8,….
d=4-2=2
Sn=n/2[2a+(n-1)d]
Sn=n/2[2×2+(n-1)2]
Sn=n/2[4+2n-2]
Sn=n/2[2n+2]
Sn=2n^2+2n/2
Sn=2(n^2+n)/2
Sn=n^2+n
Sum of first n even natural numbers = n square +n