find the sum of all odd integers between 1 and 1000 which is divisible by 3.
Hi!
Here is the answer to your question.
3, 9, 15, ..., 999 are odd numbers between 1 and 1000 which are divisible by 3.
3, 9, 15, …, 999 are in A.P. where a = 3 and d = 6
Let 999 be the nth term of A.P.
999 = 3 + (n – 1) × 6
>> 6(n – 1) = 996
>> n – 1 = 166
>> n = 167
Cheers!