Question

write all the possible number between 1000 and 1100 that are divisible by 11

Answer 1

We can use AP (Arithmetic Progression) to find the same :

The formula for AP is =

Tn = a + (n - 1)d

Now a will not be 1000 because that isnt divisible by 11

a = 1001 , which is the first term divisible by 11 after 1000

d = 11 ,the common difference

and Tn = L where L = last term

L = 1100 which is the last term divisible by 11

L = a + (n - 1)d

1100 = 1001 + (n - 1)11

99 = (n - 1)11

9 = n - 1

n = 10, There will be 10 terms between 1000 and 1100 that are divisible by 11

:)