Question

find the sum of all 3 digit natural numbers which is multiplies of 11​

Answer 1

the sequence of three digit numbers which are divisible by 11 are 110, 121, 132, …, 990. Clearly, it is an A.P. with first term, a = 110 and common difference, d = 11. Let there be n terms in the sequence. Hence, the sum of all three digit numbers which are multiples of 11 is 44550.

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Answer 2

Answer:

the sequence of three digit numbers which are divisible by 11 are 110, 121, 132, …, 990. Clearly, it is an A.P. with first term, a = 110 and common difference, d = 11. Let there be n terms in the sequence. Hence, the sum of all three digit numbers which are multiples of 11 is 44550.