# CBSE Class 10 Answered

**Find the sum of natural numbers lying between 1 to 1000 which are divisible by 3.**

Asked by ashleshathakur124 | 10 Feb, 2020, 09:46: PM

Expert Answer

Here,

3, 6, 9, ..... 999 are the natural numbers between 1 to 1000 which are divisible by 3 and this is an A.P.

a = 3, d = 3 and a

_{n}= 999We know that,

a

_{n}= a + (n - 1)d→ 999 = 3 + (n - 1)3

→ 3(n-1) = 996

→ n = 333

S

_{n}= n/2(a + l) = 333/2(3 + 999) = (333/2)×1002 = 166833
Answered by Yasmeen Khan | 11 Feb, 2020, 11:40: AM

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