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

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.

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.

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step-by-step explanation: