3.The sum of the first n even natural numbers.
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Answer:
The even natural numbers are:
2,4,6,8,.............
Here, a= 2 and. d= 4-2 = 2
Now ,
Sn = n/2 [2a +(n-1)d ] ....... ( By formula)
Sn = n/2 [ 2(2) + (n-1) 2) ]
= n/2 ×2 (2+ n-1)
= n ( 1+n)
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