find the sum of the first 20 even natural numbers.
400
410
420
430
A
400
B
420
C
410
D
430
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Solution
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We have to find the sum n terms of the AP 2,4,6,... Here a=2,d=4−2=2. Therefore, Required sum Sn=n2[2a+(n−1)d]=n2[2×2+(n−1)×2] ⇒Sn=n[2+n−1] ⇒Sn=n(n+1) ...(1)
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