Math, asked by ravi1234567890, 1 year ago

the sum of all numbers in between 1 and 1000 which are divisible by 3 is

Answers

Answered by Anonymous
6
List of the no divisible by 3 is :
3, 6, 9, 12, . . . 999
It is an AP where, a = 3, d= 3, an= 999
so, we know that,
an = a+ (n-1 )d
999= 3 + ( n-1 )3
999-3 = (n-1) 3
996 = (n-1)3
996/3 = n-1
n= 333

now, a = 3, n = 333, & l = 999,
so, Sn = (n/2)*(a+l)
Sn = (333/2) * ( 3+999)
= 333/2 * 1002
= 333*501
= 166833

Hope it will help you !!!

Anonymous: If it helps you, then mark as brainliest !!
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