The number of integers between 100 and 500 that are multiples of 11

Solution:

The given range of integers is 100 and 500

Let the first number be (a) = 110

Now let's find out the last number for that divide the given number that is 500 by 11,

you will get 5 as remainder, subtract that 5 from 500 and you get the last divisible number

The last number is 495

We know that nth term formula is

Nth term = a + (n - 1) × d

By substituting the values in the formula

495 = 110 + (n - 1) × 11

495 = 110 + 11n - 11

495 = 99 + 11n

396 = 11n

n = 36

Therefore, the number of integers are 36.

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The number of integers between 100 and 500 that are multiples of 11

Summary:

The number of integers between 100 and 500 that are multiples of 11 are 36.