How many multiples of 7 are between 10 and 500?

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-08-01

How many multiples of 7 are between 10 and 500?

Answer & Explanation

Corben Pittman

Corben Pittman

Skilled2021-08-02Added 83 answers

Step 1
The number between 10 to 500 which are multiple of 7 is given by
7,14,21,................,497.
This is given in arithmatics progression, therefore use the formula l=a+(n1)d..(1)
Last term l=497
first term a=14
common difference d=7
Now put the value of l,a and d in the equation (1)
497=14+(n1)7
Substract 14 both sides and simplify it
49714=1414+7n7
483=7n7
Step 2
add 7 both sides and simplify it
483+7=7n7+7
490=7n
Now divide by 7 and simplify it
7n7=4907
n=70
Therefore, there are 70 number in between 10 to 500, which is multiple of 7.

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