How many multiples of $6$ are between $100$ and $500$?

67

Step-by-step explanation:

First number between 100 to 500 which is divisible by 6 is 102

Multiples of 6 between 100 to 500 :

102,102+6,102+6+6,....

This Forms an AP

a= first term = 102

d = common difference = 6

Last number between 100 to 500 which is divisible by 6 is 498

So,

Formula of nth term =

Hence there are 67 multiples of 6 between 100 to 500.

ANSWER

65

EXPLANATION

This will form a sequence with first term:

with constant difference d=6 and last term

The last term is a term in the sequence, therefore;

Simplify the LHS

Divide both sides by 6.

Therefore

Hence there are 65 multiples of 6.

Between 2 hours and 6 hours, 4 hours passed. In these 4 hours, the rocket burned (360-100=260) gallons of fuel. 260/4=65.

65=n