Question

The total number of natural numbers that lies between 10 and 300 are divisible by 9

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The total number of natural numbers that lies between 10 and 300 are divisible by 9 is 32.  

Step-by-step explanation:

To find : The total number of natural numbers that lies between 10 and 300 are divisible by 9 ?

Solution :

The question form arithmetic progression,

The sequence form is 18,27,....., 297.

With first term a=18 and common difference r=9

Last term is l=297

The last term of the sequence is given by,

$a_n=a+(n-1)d$

$297=18+(n-1)9$

$297=18+9n-9$

$297-9=9n$

$9n=288$

$n=\frac{288}{9}$

$n=32$

Therefore, The total number of natural numbers that lies between 10 and 300 are divisible by 9 is 32.