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Gujarat Class 10 Answered

Find the sum of all three digit natural numbers divisible by 3
Asked by kvdudhaiya | 16 Jan, 2019, 14:08: PM
answered-by-expert Expert Answer
sum = ( 3+6+9+.......+999) = 3×(1+2+3.....+333)
 
sum = ( 3×333×334)/2 = 3×333×167 = 166833
 
( sum of n natural numbers ,i.e, 1+2+3  .....n,  is n(n+1)/2 )
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