Question

How many numbers are there between 200 and 300 which are divisible
by 13?

​

Answer 1

Answer:

Here the first term between 200 and 300 divisible by 13 is 208.

Answer 2

Here the first term between 200 and 300 divisible by 13 is 208. So the first term, a= 208 and the common difference between two consecutive terms is 13.

Last term between 200 and 300 which is divisible by 13 is 299. So the last term, Tn is 299.

We know that Tn = a+((n-1)*d) where d is the common difference and n is the number of elements.

So. Tn = 299 = 208+((n-1)*13)

299–208 = 91 = (n-1) *13

91/13 = 7 = n-1

Therefore, n= 7+1 = 8.